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@davidar
Last active October 11, 2019 01:23
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
},
"colab": {
"name": "gpfft.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/davidar/ed488a4504a8fd9abc0649a0fa32bb84/gpfft.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gQ37IyQ2t5Y2",
"colab_type": "text"
},
"source": [
"# Gaussian process simulation"
]
},
{
"cell_type": "code",
"metadata": {
"id": "8lEFRnsSt5Y6",
"colab_type": "code",
"outputId": "d7707a11-67bb-4b95-e19c-6b04ed0391e1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
}
},
"source": [
"%pylab inline\n",
"from scipy.spatial.distance import pdist, squareform\n",
"rcParams['figure.dpi'] = 150"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5POv75I0t5ZG",
"colab_type": "code",
"colab": {}
},
"source": [
"T = 10 # length of observation interval"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "78dkvlNHt5ZO",
"colab_type": "code",
"outputId": "49229dea-6436-4aa2-8070-1dd7ebd24e83",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 568
}
},
"source": [
"# squared exponential kernel\n",
"# exp(-(xi - xj)**2 / (2*L**2))\n",
"def cov(x,L):\n",
" d2 = squareform(pdist(atleast_2d(x).T, 'sqeuclidean'))\n",
" return exp(-d2 / (2*L**2))\n",
"\n",
"matshow(cov(linspace(0,T), L=2))"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fe7b74c86d8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
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dOM5sAABTCRsAwFTCBgAwlbABAEwlbAAAUwkbAMBUwgYAMJWwAQBMJWwAAFMd+QbRx8+c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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "fwZKY7FTt5ZU",
"colab_type": "text"
},
"source": [
"## Naive method"
]
},
{
"cell_type": "code",
"metadata": {
"id": "rM7oDdIMt5ZX",
"colab_type": "code",
"colab": {}
},
"source": [
"def gp(x,L=1):\n",
" return multivariate_normal(zeros_like(x), cov(x,L))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "7Br7P0Iyt5Zc",
"colab_type": "code",
"outputId": "7c8d7a32-4fdf-4d11-9eb7-c4fd2f5a238f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 538
}
},
"source": [
"for i in range(3):\n",
" x = linspace(0,T, 100)\n",
" plot(x, gp(x, L=0.5))"
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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S/DNhMUa3Kiunf9nxV3yT+40eUx6c0/ZDYJqRu7DaRBwcojso9+aGuSny8WdZ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\nBAIAAFACAQAAKIEAAACUQAAAAGoHTkch9qkdspMAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "yyrLGIY6t5Zj",
"colab_type": "code",
"outputId": "24300708-e5f2-40b5-8504-1942ba1ba8ec",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
}
},
"source": [
"%timeit gp(linspace(0,T, 100))"
],
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": [
"100 loops, best of 3: 2.63 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "KadMFdTgt5Z2",
"colab_type": "code",
"outputId": "7d6fda41-9787-4bbf-938b-6694e200d5f6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
}
},
"source": [
"%timeit gp(linspace(0,T, 1000))"
],
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": [
"1 loop, best of 3: 604 ms per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "NTiXfVEgt5Z9",
"colab_type": "text"
},
"source": [
"## Spectral method"
]
},
{
"cell_type": "code",
"metadata": {
"id": "qifW2VcMt5aA",
"colab_type": "code",
"colab": {}
},
"source": [
"N = 1024 # observations numbered 0,1,2,...,N\n",
"t = linspace(0,T, N+1) # observation times"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "beFhmTSbt5aG",
"colab_type": "code",
"outputId": "3d66d9d0-4abc-4e48-9fcc-1c64cb903bf4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 610
}
},
"source": [
"s = cov(t, L=0.5)[0] # first row of covariance matrix\n",
"c = append(s,s[-2:0:-1]) # first row of circulant matrix\n",
"v = fft.ifft(c)\n",
"print(max(imag(v)))\n",
"plot(range(-20,20), append(v[-20:], v[:20]))"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"1.1655173354219173e-18\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/numeric.py:538: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fe7b4bcebe0>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"image/png": 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ORoMBABHgzaJyba+qkSQlJhjdPmuI40SIFXeETHO8puyAFm89djJGAAgvGgwA\ncMxaq0dDFta7eEI/5fdKd5gIsWRc/2ydMTzHq//CwnsAOhkNBgA4trxkn1aX7vfqO2YzeoHwCh3F\nWLi+Upsqqh2mARDraDAAwLFHP2j+RHn60F6aOLCHwzSIRWeOyNHovCyvZhQDQGeiwQAAh7bsPqR3\n1lV49Z1nDnOYBrHKGKM7ZjePYry8aqcqD9Y6TAQgltFgAIBDoTNHjcjN1Fkj+zhMg1h2yaT+6ts9\nVZJU7/Pr6cJip3kAxC4aDABwZM+hOr24codX3zF7qBKCaxYA4ZaSlKDbQmYnm794uw7XNTpMBCBW\n0WAAgCNzPylWfWNgZeU+Wam69NT+jhMh1t0wrUCZqUmSpANHGvTc8lLHiQDEIhoMAHDgSL1PcxeX\nePWtMwcrNSnRYSLEg+5pybru9HyvfuKjbWr0+R0mAhCLaDAAwIEXVpRqf02DJCk9JVFzpg1ynAjx\n4rYzhigxeCnejn1H9EZRueNEAGINDQYAdDGf3+rxj5pv7r729Hxlpyc7TIR4MqBHN10ysZ9XP7Zo\nq6y1DhMBiDU0GADQxd4qKlfJ3hpJUoKRbp/FwnroWt8ImbL2sx0HtGRblcM0AGINDQYAdLHQRc4u\nntBP+b3SHaZBPBo/IFuzhvf26r8sYuE9AOFDgwEAXWjNjgNauX2/V4cufgZ0pdC/ews3VKq0qsZh\nGgCxhAYDALrQ3MJi7/Hkgh6alN/DWRbEtzNH9NHQnAxJkrXS/JBZzQCgI2gwAKCL7Dtcr1dW7/Tq\nW2YOdhcGcS8hweimGc2zlz27rFRH6n0OEwGIFTQYANBFFiwv9RbWy8lM0UXj8xwnQry7cspApacE\n1l85cKRBr4U0wABwsmgwAKAL+Pz2qEtQrp9awMJ6cK57WrIuP3WAVz9dWMyUtQA6jAYDALrAe+sr\ntWPfEUlSYoLRDdMKHCcCAm6eMdh7XLTz4FGTEADAyaDBAIAuMDdk9OKCsX3VL7ubwzRAs1F5WZo2\npJdXzyssdpYFQGygwQCATrZ19yEt2rjbq0M/MQYiQeiEA/+7Zpd2V9e5CwMg6tFgAEAnmxcyejGy\nb6amD+11nFcDXe/8sX2V1z1NktTgs3p26XbHiQBEMxoMAOhEh+sa9cKKHV5904zBMsY4TAR8UXJi\nwlH3BT2zZLsafX6HiQBEMxoMAOhEL39apuraRklSVmqSrgiZsQeIJNdNzVdyYqD5LT9Yq7fXVjhO\nBCBa0WAAQCex1mruJ82XR105ZaAyUpMcJgJal5uVposn9PPqpwuLnWUBEN1oMACgkyzdVqUNFdVe\nHbpqMhCJbg75O7p4a5U2hvyT+u65AAAgAElEQVT9BYC2osEAgE4yt7B59GL2iBwN65PpMA1wYpML\nempc/+5ePbew2FkWANGLBgMAOkH5gVq9UVTu1UxNi2hgjNEtIX9XX1pZpoO1De4CAYhKNBgA0An+\ntnS7fH4rSRrQo5u+NDrXcSKgbS6Z1F/Z3ZIlSTX1Pr0UMgsaALQFDQYAhFl9o19/W9K8jsCc6YOU\nmMDUtIgO3VISde3p+V49d3GJrLUOEwGINjQYABBmbxSVa8+hwErIKUkJR/2yBkSDOdMGqWm5lq27\nD+vjzXvdBgIQVWgwACDM5n5S7D2+ZGJ/9cpIcRcGOAkFvdN1zqjmy/qYshZAe9BgAEAYFe08oOUl\n+7z6lplMTYvoFDpl7bvrKrRjX43DNACiCQ0GAITRvJCpaU/J76GJA3s4TAOcvDNH9NHg3umSJL+V\nngm5rwgAjocGAwDCZH9NvV7+tMyrb2ZhPUSxhASjOdOb/w4/u3S7aht8DhMBiBY0GAAQJs8v36Ha\nBr8kqXdGii6e0M9xIqBjrp6Sr27JiZKkfTUN+udnuxwnAhANaDAAIAz8fqt5i5svj7puar7Sgr+Y\nAdEqOz1Zl506wKvnFRY7ywIgetBgAEAYfLBxt7ZXBW6CTTDSDdO4PAqxIfRSv9U7DujT0v0O0wCI\nBjQYABAGodN4nj+2rwb06OYsCxBOY/p119TBvbw6dBpmAGgJDQYAdFDxnsP6YONur755xmB3YYBO\ncFPIKMY/P9ulvcGFJAGgJTQYANBB8xeXyNrA42F9MjRzWG+3gYAwu3BcnnKzUiVJ9T6/nl1W6jgR\ngEhGgwEAHXCk3qfnljf/snXLzMEyxjhMBIRfSlKCbphW4NV/W7JdjT6/w0QAIhkNBgB0wCuflulg\nbaMkKSMlUZeHzLgDxJIbphYoKSHQPJftP6J311c6TgQgUtFgAMBJstbq6ZCVu6+cMlBZackOEwGd\nJ7d7mi4an+fVcwuLnWUBENloMADgJK0o2ad1uw56NSt3I9bdMnOw9/jjzXu1ubLaXRgAEStsDYYx\nppsx5ifGmI3GmFpjzE5jzJPGmHZfL2CM6WmM+Z0xpsQYUxfcPmSM6dHG41OMMWuNMdYY09j+dwMA\nJxY6ejFzWG8Nz81ymAbofKcN6qnRec1/z+eF/BsAgCZhaTCMMWmSFkr6saRMSa9IKpV0m6RVxpih\n7ThXjqSlku6V1CjpZUnVkr4jaYkxptdxDm/yQ0mj2/MeAKA9Kg/W6vU1u7yaqWkRD4wxR41ivLiy\nTIfq+BwPwNHCNYLxI0nTJRVKGmmtvdZaO03S9yX1kfRkO871kKThkl6SNCp4rvGS/iBppKQHj3ew\nMWaMpP+U9Jd2vwsAaKO/Ly1Voz8wN23/7DSdNybXcSKga1x6Sn91T0uSJB2qa9Q/Vu5wnAhApOlw\ng2GMSZF0T7C821p7qGmftfZBSZ9JOssYM6UN5+on6XpJ9ZLustaGfixyv6TdkuYYY1r8SW4Cc0M+\nJmm/pP/nJN4OAJxQg8+vZ5Y0Xxpy4/RBSkrkljbEh/SUJF19Wr5XP11YItu0EAwAKDwjGLMkZUva\nYq1d1cL+F4LbS9pwrouCmT601laE7rDW1kl6TVKipItbOf5OSWdI+r61dl8bvh4AtNubReWqrA6s\nZJySmKBrT88/wRFAbLlpevOEBpsrD6lwy16HaQBEmnA0GJOC25Wt7G96fmJnnis4+vELSe9aa+e3\n4WsBwEmZG3Jj61cn9lNOZqrDNEDXG5yTobNH9fHqudzsDSBEOBqMpqU9W7sIs+n5tszf2JFzPSwp\nTdJdbfg6AHBS1pcf1NJtVV59E1PTIk6FTsv81tpy7dx/xGEaAJEkHA1GZnBb08r+w8FtW+ZvPKlz\nGWMulXSFpF9Yaze24esclzGmqKU/koZ19NwAotv8xc2f1E4YkK1T8ts0ezYQc84emauCXumSJL+V\nnl263XEiAJEi6u9KNMZkKTB6sVHSzx3HARDDAjPmlHn1TdMHKTC3BBB/EhKMbphW4NV/X1aqBp/f\nYSIAkSIcDUbTrFHprezPCG7bstznyZzr/0oaqMCsU3Vt+BonZK0d19IfSVvCcX4A0ekfq8p0uN4n\nSeqelqRLJvV3nAhw65rT8pWSFPhVYnd1nd4qqjjBEQDiQTgajKYx0YGt7G96vi13gJ3MuS6RVCvp\nx8aY90P/BPcnhjx3ShsyAMAXWGs1P+RG1qum5KtbSqLDRIB7vTJS9JUJ/bx63uJid2EARIykMJxj\ndXA7uZX9Tc9/1onnSpN01nHO27SPi6UBnJTlJfu0oaJ58PTG6QXHeTUQP+ZMH6R/rApcOrh4a5U2\nV1ZreG5bbrsEEKvCMYLxsaQDkoa1MkJwVXD7WhvO9YYkv6TZxy6mZ4xJVWC0wifpX03PW2sHW2tN\nS3+CL/GFPPd++94aAATMCxm9OGN4job1yTzOq4H4Mbmgh8b26+7V8xdzszcQ7zrcYFhr6xW4yVqS\n/miMabpPQsaY+xRYs+IDa+2KkOfvMcasN8b8/Jhz7ZL0d0kpkv5kjAkdYXlAUh9J8621lR3NDQBt\ntedQnV7/fJdXz2H0AvAYYzQnZOG9F1fsUE19o8NEAFwL1yxSP5O0RNJMSZuMMQuMMYsl/UbSbkm3\nH/P6HEmjJPXTF31XgZupr5S03hjzrDFmjaR7JW2SdF+YMgNAmyxYVqoGn5Uk9e2eqvPG9HWcCIgs\nl57SX1mpgc8Eq+sa9cqnOx0nAuBSWBoMa22tpHMk/VSBNSwuU2AxvKckTbbWbm3HufZImirpDwqM\nZFwuKVvS7yVNtdZWHedwAAgrn9/qb0uaL/m4fmqBkhKjfoZvIKwyUpN0xeQBXj2vsETWWoeJALgU\ntp+S1toj1tr/stYOt9amWmv7WWtvs9Z+YVVua+1/B++JuLWVc1VZa++11hYEz1Vgrf2OtXZ/OzMZ\na204bmQHEKfe31CpsuAKxYkJRtdP5fIooCWhl0mt3XVQq0rb9SMbQAzhYzgAOI55ISt3XzC2r/p2\nT3OYBohcI/pmadqQXl4dOq0zgPhCgwEArdi+t0YfbNzt1TeFfEIL4ItumtH8b+Sfa3ap6nC9wzQA\nXKHBAIBWPLO0RE2XkQ/tk6EZw3q7DQREuAvG5qlPVqokqb7Rr+eXlzpOBMAFGgwAaEFtg0/PL2++\nhWzOtEEyxhznCAApSQm67vR8r35myXb5/dzsDcQbGgwAaMHrnzdf3pGWnKArpwx0nAiIDtdPLVBC\nsBffXlWjRZt2H/8AADGHBgMAWhC6cvelkwYou1uywzRA9Ojfo5vODVkrZv5ibvYG4g0NBgAco2jn\nAa3c3jzFZuiNqwBOLHRChIXrK7VjX43DNAC6Gg0GABxj/uLmhfUm5ffQ+AHZDtMA0eeM4Tka1Dtd\nkuS30t+Xbj/BEQBiCQ0GAIQ4WNugVz4t82qmpgXaLyHBaM605n87C5aVqr7R7zARgK5EgwEAIf6x\nskw19T5JUna3ZH11Yj/HiYDodNWUgUpJCvyasedQvd4oKnecCEBXocEAgCBr7VE3pF5z2kClJSc6\nTAREr54ZKbpkYn+v5mZvIH7QYABA0JJtVdpUecirb5zG5VFAR4ROkLB0W5U2lFc7TAOgq9BgAEDQ\nvJBPWGePyNHgnAyHaYDoN2lgtsYP6O7VjGIA8YEGAwAkVVbX6s3Pm68R5+ZuoOOMMUf9W/rHqjId\nqmt0mAhAV6DBAABJC5aWqtFvJUn9stP0pdG5jhMBseGSSf2VlZYkSTpU16iXV5Wd4AgA0Y4GA0Dc\na/T5j5qn/4apBUpK5NsjEA7pKUm6aspAr56/uETWWoeJAHQ2foICiHsL11dq54FaSVJSgtG1U/Md\nJwJiS+iECevLq7WiZJ/DNAA6Gw0GgLgXenP3hePzlJuV5jANEHuG52Zq5rDeXj2Pm72BmEaDASCu\nFe85rA837fFqbu4GOkfov63X15Rrz6E6h2kAdCYaDABx7ZklzZ+kjsjN1LQhvRymAWLXeWP7Kjcr\nVZJU7/PrueWljhMB6Cw0GADiVm2DT8+v2OHVc6YPkjHGYSIgdiUnJuj6qQVe/bcl2+Xzc7M3EIto\nMADErX9+tkv7axokSd2SE3X55AGOEwGx7fqpBUpMCDTxO/Yd0QcbKx0nAtAZaDAAxK3QG00vO3WA\nuqclO0wDxL687DSdP6avV88r5GZvIBbRYACIS2t2HNDq0v1ePWd6wXFeDSBc5oTc7P3+xt0qrapx\nmAZAZ6DBABCX5oeMXkwu6KFx/bMdpgHix8xhvTU0J0OSZK30zJLtJzgCQLShwQAQdw4cadArq8u8\n+qYZTE0LdJWEBKMbQ0YxnlteqrpGn8NEAMKNBgNA3HlxxQ7VNvglST3Tk/Xl8f0cJwLiy1WTByot\nOfArSNXher2+ptxxIgDhRIMBIK5YazU/ZO2La07PV1pyosNEQPzJTk/W1yb19+r5rOwNxBQaDABx\npXDLXm3dfViSZIx041QujwJcCL3Ze3nJPq3dedBhGgDhRIMBIK489Umx9/jMEX1U0DvdXRggjk0c\n2EOTBjZPrjC3sNhZFgDhRYMBIG7s2Fejd9ZVePUtMxm9AFy6acZg7/HLn5Zpf029uzAAwoYGA0Dc\nmL94u/w28HhQ73SdPTLXbSAgzn11Yj/1ykiRJNU2+PXc8lLHiQCEAw0GgLhQ2+DTs8ua59u/afog\nJSQYh4kApCUn6vqp+V49t7BEvqZPAQBELRoMAHHh1U93an9NgySpW3Kirj4t/wRHAOgKN04bpMRg\ns79j3xG9t77ScSIAHUWDASDmWWuPurn78skDlN0t2V0gAJ7+PbrpgrF9vfrpwmJnWQCEBw0GgJi3\nomSf1u5qngLzlpAbSwG4d8vMwd7jDzft0ebKQ+7CAOgwGgwAMS909GLG0N4alZflLgyAL5g2pJdG\nh/y7ZMpaILrRYACIaRUHa/XG5+VezdS0QOQxxujmkJHFF1fsUHVtg7tAADqEBgNATHtmyXY1Bmel\n6Z+dpvPG9D3BEQBcuOzU/uqeliRJOlzv04srdjhOBOBk0WAAiFn1jX79bUnz1LRzZgxSUiLf9oBI\nlJ6SpGtPP3rKWj9T1gJRiZ+0AGLWv9bs0p5DdZKklKQEXXd6geNEAI7npumDZYLL02zdc1gfbd7j\nNhCAk0KDASBmhU53+bVJ/b0VgwFEpoLe6frSqFyvfjpkggYA0YMGA0BM+mzHfq3avt+rbw2ZBhNA\n5Aqdsnbhhkpt31vjLgyAk0KDASAmhU5NO2VQT40fkO0uDIA2O2N4job2yZAkWSvNW1zsNhCAdqPB\nABBz9hyq0z9X7/Lqm2cwNS0QLRISjG6e3vxvdsGyUtXUNzpMBKC9aDAAxJwFy0pV7/NLkvpkperL\n4/s5TgSgPa6cMlAZKYmSpIO1jXp51U7HiQC0Bw0GgJjS6PNr/uISr75xWoFSkvhWB0STrLRkXTVl\noFc//UmxrGXKWiBa8FMXQEx5a22Fdh2olSQlJxrdMI2paYFodFPIyt4bKqq1ZFuVuzAA2oUGA0BM\nCZ3W8svj+yk3K81dGAAnbXhupmaPyPFqpqwFokfYGgxjTDdjzE+MMRuNMbXGmJ3GmCeNMQNO4lw9\njTG/M8aUGGPqgtuHjDE9Wnn9rcaYZ40x64wxVcaY+uDXf8EYM6vj7w5ANFi36+BRn3LewtS0QFS7\nJWQU4621Fdq5/4i7MADaLCwNhjEmTdJCST+WlCnpFUmlkm6TtMoYM7Qd58qRtFTSvZIaJb0sqVrS\ndyQtMcb0auGweyRdKemIpI+Cx+wOPvehMeZbJ/fOAESTuYXF3uMJA7I1uaDFzyQARIlzRucqv1c3\nSZLPb/XMkpITHAEgEoRrBONHkqZLKpQ00lp7rbV2mqTvS+oj6cl2nOshScMlvSRpVPBc4yX9QdJI\nSQ+2cMzdknpZaydba79mrb3GWjtJ0qWS/JJ+G2xcAMSo/TX1+seqMq++ecYgGWMcJgLQUYkJRjeF\nTFn796Wlqm3wOUwEoC063GAYY1IUGEGQpLuttYea9llrH5T0maSzjDFT2nCufpKul1Qv6S5rbejE\n1/crMCoxxxiTG3qctXaJtbb62PNZa1+V9L6kNEkz2/O+AESX55fvUG1DYGraXhkpumRSf8eJAITD\nNaflKy058OtK1eF6/fOzXSc4AoBr4RjBmCUpW9IWa+2qFva/ENxe0oZzXRTM9KG1tiJ0h7W2TtJr\nkhIlXdyOfA3BbX07jgEQRXx+q7khq/1ed3q+0pIT3QUCEDY90lN0+anNt3MyZS0Q+cLRYEwKble2\nsr/p+YldfC4ZY86V9CVJ+yQtbssxAKLPe+srVVoVuPkzwUhzprNyNxBLbg652XtN2QGtKt3vLgyA\nEwpHg9E0yfyOVvY3Pd+Wn/gdOpcx5jZjzFPBGaWWSXpHgRu/r7fW8t0IiFFPFxZ7jy8Ym6f+Pbo5\nywIg/Mb0666pQ5rneGHKWiCyJYXhHJnBbU0r+w8Ht1ldcK5Zkm4Jqask3WGtfbMNX9tjjClqZdew\n9pwHQOfbXHlIH27a49VMTQvEpltnDtbS4DTU/1qzS//vV8awzg0QoWJqoT1r7TestUaBBuQ0BUYw\nXjTGPOY2GYDOMq+w2Hs8qm+Wpg9taSZrANHugrF91S870FA0+Kz+vqTUcSIArQlHg9E0a1R6K/sz\ngtsvzPLUWeey1h6y1q6w1l4r6VVJdxhjrmzD1286flxLfyRtaes5AHS+6toGvbCi+YrKm2cyNS0Q\nq5ISE3TjtAKvfmZJieob/Q4TAWhNOBqM7cHtwFb2Nz3fltVxwnmuJvOD20vbcQyAKPDSyjIdrg/M\nid89LemomWYAxJ7rphYoJTHwq0tldZ3eKCp3nAhAS8LRYKwObie3sr/p+c+6+FxNmi7O7tOOYwBE\nOL/fHnVz9zWn5Ss9JRy3lQGIVDmZqfrqpH5ePZebvYGIFI4G42NJByQNM8ac0sL+q4Lb19pwrjcU\nWHl79rGL6RljUhVYS8Mn6V/tyHdWcMvlTUAM+WjzHm3dHZj3wRjpphlMTQvEg1tCpqxdXrJPn5cd\ncBcGQIs63GBYa+slPRws/2iMabpPQsaY+xRYs+IDa+2KkOfvMcasN8b8/Jhz7ZL0d0kpkv5kjAn9\nOPIBBUYh5ltrK0PONcYYc01wRXGFPG+MMddJ+oEkK+npjr5XAJEjdJrKc0blalDvjNZfDCBmTMrv\noVPye3g1U9YCkSdcs0j9TNISSTMlbTLGLDDGLJb0G0m7Jd1+zOtzJI2S1E9f9F0FRhuulLQ+uKbF\nGkn3Stok6b5jXt9X0gJJlcaYd40xzxhj/lfSVgWalVRJ91lrl4XhfQKIANv31mjhBu9zBqamBeLM\nrSH/5l9ZvVP7Dte7CwPgC8LSYFhrayWdI+mnCqxhcZkCi+E9JWmytXZrO861R9JUSX9QYCTjcknZ\nkn4vaaq1tuqYQ4ok/ZekFZJGKtCYnCOpQdKTkk631j50su8NQOSZt7hY1gYeD83J0OzhOW4DAehS\nF0/op5zMVElSfaNfzy5jylogkoRtHQxr7RFr7X9Za4dba1Ottf2stbdZa7+wKre19r+ttcZae2sr\n56qy1t5rrS0InqvAWvudllbjttbuttb+1Fp7rrU231qbZq1Nt9aOtNZ+3Vq7MlzvEYB7NfWNWhDy\ny8RNMwYpIYGpaYF4kpKUoBum5nv1/MUlavQxZS0QKWJqoT0Ase/lVTt1sLZRkpSRkqirprQ2qzWA\nWHbj9EFKCn64ULb/iN5ZV3mCIwB0FRoMAFHD77d64qPmKy6vnDJQWWnJDhMBcKVv9zRdND7Pq0O/\nNwBwiwYDQNR4b0OltoRMTcvN3UB8u/2MId7jZcX7tHL7PodpADShwQAQNR5d1PwJ5Xlj+mpYn0yH\naQC4Nrmgp04b1NOr/7KIUQwgEtBgAIgKn5bu19JtzZPI3XnmUIdpAESKb4Z8L3ijqFzFew47TANA\nosEAECUeW7TFezy5oIdOG9zLYRoAkeK8MX01tE9goU1rpce5FwNwjgYDQMQr2XtYb3xe7tXfPHOY\nwzQAIklCgtEds5tHMZ5fvkN7D9U5TASABgNAxHvio23yBxfWG5KTofPH9nUbCEBEufzUAcrJTJEk\n1TX6NbewxHEiIL7RYACIaFWH6/Xc8uaF9b5+xhAlsrAegBBpyYm6ZcZgr563uERH6n3uAgFxjgYD\nQESbV1ii2obACr29M1JYWA9Ai+ZMH6RuyYmSAh9MvLByh+NEQPyiwQAQsWobfJpbWOzVN88YrLTg\nLxAAEKpnRoquPT3fqx//cKt8TddWAuhSNBgAItYLK3Zo7+F6SVJacoJumjHIcSIAkezrZwxR0xWU\nJXtr9FZR+fEPANApaDAARCSf3+qJj7Z59TWn5atXRorDRAAiXX6vdF08oZ9XP7poq6xlFAPoajQY\nACLS22srtC24YFaCCXwyCQAnErrw3qel+7WseJ/DNEB8osEAEJFCF9a7aHyeBvXOcJgGQLSYOLCH\npg9tXojzsUUsvAd0NRoMABFneXGVVm7f79UsrAegPe4M+Z7xzroKba485DANEH9oMABEnEdDPnGc\nOqSXTsnv4TANgGhz9qg+Gtk306sf/5BRDKAr0WAAiChbdh/SO+sqvPrOkOupAaAtjDG6Y3bz946X\nVpapsrrWYSIgvtBgAIgoj3+4TU2TvgzPzdQ5o3LdBgIQlS49ZYD6dk+VJNX7/Hr6k2K3gYA4QoMB\nIGLsrq7TiyGr794xe4gSmia1B4B2SElK0K0zm2efm794uw7XNTpMBMQPGgwAEWNuYbHqG/2SpD5Z\nqbrs1AFuAwGIajdMK1BGSqIk6cCRBj23vNRxIiA+0GAAiAg19Y2at7jEq2+dOVipSYkOEwGIdtnd\nknX91AKvfuKjbWr0+R0mAuIDDQaAiPD88h3aX9MgSUpPSdScaYMcJwIQC24/Y4iSgpda7th3RP/6\nvNxxIiD20WAAcK7R59fjHzVPI3nd6QXKTk92mAhArOjfo5sumdTfqx9btEW2aSYJAJ2CBgOAc28U\nlau06ogkKTHB6PYzBrsNBCCmhE5Z+3nZQRVu2eswDRD7aDAAOGWt1WMhC+t9ZUI/DeyZ7jARgFgz\ntn93zR6R49WPsfAe0KloMAA4tXhrlT7bccCrv8nCegA6Qej3lvc37NaG8mqHaYDYRoMBwKm/hHyS\nOGt4b40fkO0wDYBYdcbwHI3t192rQ0dOAYQXDQYAZzZVVGvh+kqv/uaZwxymARDLjDFHjWK8urpM\n5QdqHSYCYhcNBgBnQj9BHJ2XpTNDrpEGgHD7ysR+6p+dJklq8Fn99eNtjhMBsYkGA4ATFQdr9fKn\nZV59x+yhMsY4TAQg1iUnJuj2M4Z49d+WbFd1bYPDREBsosEA4MRfPy5Wgy8wF31e97Sj5qkHgM5y\n3dQCZaUlSZKq6xr17NJSx4mA2EODAaDLHapr1DNLSrz69jMGKyWJb0cAOl9mapJunDbIq5/8eJsa\nfH6HiYDYw090AF3u2aXbVV3bKEnKSk3S9VMLHCcCEE9umzVYyYmBSzJ3HajVa6t3Ok4ExBYaDABd\nqsHn15MfNd9Yef20AmWlJTtMBCDe9O2epktPGeDVjy3aKmutw0RAbKHBANCl/vezXdoZnBoyKcHo\ntlmD3QYCEJdCp6xdX16tRZv2OEwDxBYaDABdxu+3euSDLV79tVP6q192N4eJAMSrkX2zdM6oPl79\nyPtbjvNqAO1BgwGgy7xZVK715dVeHfoJIgB0tdDFPQu37tXirXsdpgFiBw0GgC7h91v99p2NXn3R\nuDyNzuvuMBGAeDd9aC9NHdLLqx98eyP3YgBhQIMBoEv8c80ubaw45NXfPX+EwzQAIBljdN/5I716\n6bYqfbyZUQygo2gwAHQ6n9/qoZDRi69M7MfoBYCIMH1ob80c1turH3x7A6MYQAfRYADodK98Wqat\nuw9LkoyRvnceoxcAIkfoKMbK7fv1/sbdDtMA0Y8GA0CnavT59bt3N3n1pZP6a3hulsNEAHC00wb3\n0pkjm2eU+i33YgAdQoMBoFO9tLJMJXtrJEmJCUbfOW/kCY4AgK4XOorx2Y4DemddpcM0QHSjwQDQ\naeob/fr9wubRi8tPHaAhORkOEwFAy07J76FzR+d69YNvb5TfzygGcDJoMAB0mhdW7NCOfUckBVbt\nvvdL3HsBIHJ9L2QUY92ug3prbbnDNED0osEA0CnqGn16OGT04urTBqqgd7rDRABwfOMHZOvCcX29\n+rdvb2IUAzgJNBgAOsWCZaXaeaBWkpScaHQPoxcAokDoKMaGimr975pdDtMA0YkGA0DY1Tb49PDC\nzV593ekFGtCjm8NEANA2o/O66ysT+3n1Q+9slI9RDKBdaDAAhN0zS7arsrpOkpSSlKC7zxnuOBEA\ntN33zhshYwKPt+w+rFdXl7kNBESZsDUYxphuxpifGGM2GmNqjTE7jTFPGmMGnMS5ehpjfmeMKTHG\n1AW3DxljerTw2mRjzAXGmIeNMZ8bY2qMMUeMMeuMMb82xvRp6WsA6Bw19Y368/vNoxc3TitQXnaa\nw0QA0D7Dc7N06aT+Xv27dzap0ed3mAiILmFpMIwxaZIWSvqxpExJr0gqlXSbpFXGmKHtOFeOpKWS\n7pXUKOllSdWSviNpiTGm1zGHnCXpTUl3S8qQ9LqktyXlSPq+pM+MMaNO+s0BaJd5hSXac6hekpSW\nnKBvnz3McSIAaL97zx2hhOAoRvHeGr20ilEMoK3CNYLxI0nTJRVKGmmtvdZaO02BX/D7SHqyHed6\nSNJwSS9JGhU813hJf5A0UtKDx7zeL+k5SdOstUOstVdaa78WPMebkvIk/fXk3xqAtjpU16hHPtji\n1TfPGKzcLEYvAESfoX0ydcXkgV79+3c3qb6RUQygLTrcYBhjUiTdEyzvttYeatpnrX1Q0meSzjLG\nTGnDufpJul5SvaS7rLkxElgAACAASURBVLWNIbvvl7Rb0hxjjLcSjrV2YbAJWRp6LmvtAUm3B8sZ\nxphB7X93ANrj6U+Kta+mQZKUnpKoO89s8+AlAESce780QknBYYz/v707j4+quvs4/vllT0gIEPZ9\nFSQom7KKgit1x6XuG611X2q1u3VtrW211Lq1VcRq9XFF5VHRp64oIAqICiIQZN8JgYTsyXn+uDeT\nEBKSkEnuJPm+X695Xc+5c+/85nomzG/OPeds2JXHyws3BByRSNMQjh6M8UAqkOGcW1zF/pf97Wm1\nONdkP6Y5zrmtFXc45wqAWUA0cHJtAnPObcJLSgC6Hui5IlI/e/KL+OfHq0Ply8f1Ji05PsCIRETq\np2daEuceUd6L8fD7KykoLgkwIpGmIRwJxlB/u6ia/WX1hzfyufAHhbf1i1qOU6QBTf/ke3bneb0X\nyfExXDlBvRci0vRdN6k/sdFeL8am3fm88Pn6gCMSiXzhSDB6+tvq+g3L6mtzi1I4zwXewO8Y4Gvn\n3Pe1PAYzW1rVA9BoVZEq7M4t4sk55R+xqUf1oW2ruAAjEhEJj+5tkzj/yJ6h8iMfrCK/SL0YIgcS\njgQj2d/mVrN/r79NacxzmdlwvMHnAL+oxWuLyEH615zVZBd4Q6ZaJ8Two6P6BByRiEj4XDepP3Ex\n3lemrXsK+M9n6wKOSCSyNcuF9sysE94sVAnANOfc23U53jmXXtUDyKjxYJEWJnNvIU99Wt57ceWE\nvqQmxgYYkYhIeHVOTeCi0eW9GI99uIrcwuIDHCHSsoUjwSibNSqpmv2t/G12Y5zLzFKAt4DewEt4\nU+WKSAP5x8cZ7C30bhdokxTL5eN7BxuQiEgDuGZiPxJiva9NO3IKeWbe2oAjEolc4UgwyvoJu1ez\nv6y+Np/Eep3LX/DvDWAE8C5wsXNOk1aLNJDt2QX8e275x/Gqo/uRkqDeCxFpfjqmJHDp2N6h8uMf\nZZBToF4MkaqEI8FY4m9HVLO/rP6rhjyXmcUALwATgbnAWc65wlq8pogcpMc/yiDPH+yY1iqOS8dq\nuRkRab6uOrovSXHRAOzKLeLpuWuCDUgkQoUjwfgU2A30M7NhVew/x9/OqsW5ZuOtzD2h4mJ6AGYW\nj7eWRgneLVAV9xneat2nA18Cpzjn9iIiDWbrnnyenV/ee3H1Mf1oFR8TYEQiIg0rLTmey8b1DpX/\n+fFq9uQXBReQSISqd4Lh9xI87BcfMbOycRKY2S14a1Z85JxbWKH+ejNbbmb3VTrXZuB5IA541O+V\nKPMnoAPwrHNuW6UwpgEXA8uBE51zWfV9XyJyYI9+sIqCYu8OxA4p8Vw8Rr0XItL8/WRCX5L9H1N2\n5xUx/ZNaz4Iv0mKE6+fGe4HjgXHASjObg7dWxWi8lbSnVnp+e2Ag0KWKc90MjAHOBpab2RdAOjAE\nWAncUvHJZnYGcKNfXA/82evQ2M8fnXPL6/zORGQ/m7LyeH5B+WJT107sR6J/24CISHPWtlUcU8f3\n5qH3VwHw5JzvuWJcH1KTNP5MpExYpql1zuUDk4B78NawOBMvwZgBjHDOra7DuXYAo4C/4/VkTAFS\ngYeAUc65zEqHtK3w3ycAl1Xz6FzX9yUiVXvkg1UUlni9F51bJ3DBqJ41HCEi0nz8aEJfUhK832iz\nC4p54pNaf80RaRHCtg6Gcy7POfc751x/51y8c66Lc+4K59x+q3I75+50zplz7vJqzpXpnLvROdfT\nP1dP59xNVd365Jyb4Z+rpseH4XqvIi3Z+sxcXvyivPfiumP7kxCr3gsRaTlSE2O5ckLfUHn6J9+T\nuVfzyoiUaZYL7YlIw3n4/VUUlTgAurVJ5LwjegQckYhI47tifG/a+LdF7S0s4Z8fqxdDpIwSDBGp\ntVXbsnl5UXmn5A3H9icuRn9GRKTlSUmI5SdHl/diPD13DZt35wUYkUjk0DcDEakV5xx3vrGMklKv\n96JnuyTOHlndmpgiIs3fZWN70z45DoC8ohL+8JbmkhEBJRgiUkvvLN3CJ6t2hMq/OeVQYqP1J0RE\nWq5W8THceuLAUHnWkk3MX70zwIhEIoO+HYhIjfIKS7jnf78NlScMaM+JgzsFGJGISGT44RE9OLx7\naqh85xtLKfZn2RNpqZRgiEiNHv8og41Z3r3FMVHGHaelU816MyIiLUpUlHHX6emh8vIt2fzns3UB\nRiQSPCUYInJA6zNzefyjjFB56lF96N8xOcCIREQiy/CebTmnwpi0B979jp05BQFGJBIsJRgickD3\nvrmMgmKvu79DSjw3HNs/4IhERCLPLyYPIiXeW3xvT34xf3n3u4AjEgmOEgwRqdacldt5Z+nWUPlX\nPxhESkJsgBGJiESmDinx3HT8gFD5fz5fz1cb9lsfWKRFUIIhIlUqLC7lzjeWhsoje7VlyvBuAUYk\nIhLZLhvXmwH+LaTOwR1vLKXUn9pbpCVRgiEiVfr3vDVkbN8LgBncdboGdouIHEhsdBR3VhjwvXhd\nFjMXbwwwIpFgKMEQkf1sy85n2n9XhsoXjOrJkG6pBzhCREQAxvdvzw+GdA6V73t7Odn5RQFGJNL4\nlGCIyH7uf/s7cgqKAUhNjOW2CgtJiYjIgf3mlENJiPW+Yu3IKeCh91bWcIRI86IEQ0T2sXDtLl5Z\ntCFUvvXEQ2jbKi7AiEREmpbubZO45pjyGfee+nQNq7ZlBxiRSONSgiEiISWlbp+B3Yd2ac2Fo3sF\nGJGISNN01TF96d42EYDiUsdds5bhnAZ8S8ugBENEQl78Yj1fb9wdKt91ejrRURrYLSJSVwmx0dx+\n6uBQec7KHftM+y3SnCnBEBEAducW8ed3yheGOn1oV0b1aRdgRCIiTduJgzsxYUD7UPneN5eRX1QS\nYEQijUMJhogA8OD/fUfm3kIAkuKi+fXJhwYckYhI02Zm3HFaOjF+T/CGXXk8/lFGwFGJNDwlGCLC\nt5v38Mz8taHy9cf2p3NqQoARiYg0D/07JnPF+N6h8mMfZrA+Mze4gEQagRIMkRbOOeetNuuPPezT\nvhU/OqpPsEGJiDQjNx43gA4p8QAUFJfy+ze/DTgikYalBEOkhZv11WYWfJ8ZKv/u1MHEx0QHGJGI\nSPOSkhDLLycPCpVnL93CJyt3BBiRSMNSgiHSgu0tKOYPFX5JO25QRyYN6hhgRCIizdOU4d0Y0bNN\nqHznrKUUlZQGGJFIw1GCIdKCPfLBKrbsyQcgLjpqnykVRUQkfKKijLvPGIL5M3+v2pbD03PXBBqT\nSENRgiHSQq3ZsZcn5nwfKl95dB96t28VYEQiIs3bkG6pnH9kz1B52n9Xsi07P8CIRBqGEgyRFuru\n/11God893yU1gesm9Q84IhGR5u+2kwaSmhgLQE5BMfe//V0NR4g0PUowRFqg95dv5f3l20LlX598\nKElxMQFGJCLSMrRrFcfPTjwkVH5l0QYWrt0VYEQi4acEQ6SFKSgu4e5Zy0LlMX3bcerhXQKMSESk\nZblwVE8GdU4Jle98YyklZXOFizQDSjBEWpgn5nzPmp3eIk/RUcadp6djZaMORUSkwcVER3HX6emh\n8tcbd/PiF+sDjEgkvJRgiLQgm7LyePj9VaHyJWN6Mahz6wAjEhFpmUb3TeP0oV1D5T+/8x1ZuYUB\nRiQSPkowRFqI0lLHbS8vIa+oBPDuA/7p8YfUcJSIiDQUb/ybt7Bp5t5CfjPzG5zTrVLS9CnBEGkh\npn/6PZ+u2hkq//rkQ0lNig0wIhGRlq1zasI+P/S8+fVmXl20McCIRMJDCYZIC7Bs0x7+NLt8KsTJ\n6Z05e0S3ACMSERGAqUf1YUzfdqHyHW8sZX1mboARidSfEgyRZi6/qISbX1gcWvOiY0o89511mAZ2\ni4hEgOgo48EfDiMlwZsqPKegmJ++8CXF/t9skaZICYZIM3f/7OWs2JoTKj/ww6G0bRUXYEQiIlJR\n1zaJ/H7KYaHyF2t38diHGQFGJFI/SjBEmrGPV2znqU/XhMpTx/dhwoAOwQUkIiJVOn1oV6YML791\nddp7K/lyfVaAEYkcPCUYIs1U5t5CfvbSklB5UOcUfj55YIARiYjIgdx1Rjrd2iQCUFLquPl/FrO3\noDjgqETqTgmGSDPknOOXr3zF9uwCAOKio5h2/jASYqMDjkxERKrTOiGWv543jCh/iNyanbnc++ay\nYIMSOQhKMESaoRe/WM+7y7aGyj+fPFAL6omINAGj+rTjmon9QuXnF6znnaVbAoxIpO6UYIg0M9/v\n2Mtds8p/8Tqqf3umju8TYEQiIlIXNx9/CId3Tw2Vf/nKV2zbkx9gRCJ1owRDpBkpKinl5he+JLfQ\nW627TVIsD/xwKFFRmpJWRKSpiI2OYtp5w0j0b2vdlVvErS9/pVW+pclQgiHSjPz9/VUsqTDryB/P\nOoxOrRMCjEhERA5G3w7J3H7q4FD54xXbeXrumuACEqkDJRgizcTCtZk8/P7KUPnckd2ZPKRLgBGJ\niEh9XDCqB8cf2ilU/sPby1mxNTvAiERqRwmGSDOQnV/EzS98Sanfe94rLYk7Tk8PNigREakXM+P+\nsw+jfXI8AIXFpdz4/GIKiksCjkzkwJRgiDQDd81axvrMPACio4y/njeM5PiYgKMSEZH6SkuO58/n\nHh4qL9+SzQPvrggwIpGaKcEQaeLe+nozLy/cECrfcGx/RvRsG2BEIiISTpMGduSysb1C5X/NWc3c\nVTsCjEjkwJRgiDRhm3fn8atXvw6Vh/dsw/WT+gcYkYiINIRfnXwo/TsmA+Ac3PLiErJyCwOOSqRq\nSjBEmqjSUsetLy1hd14RAK3iopl23jBiovWxFhFpbhJio/nb+cOIjfamHd+yJ5/fzPxGU9dKRNI3\nEZEmavqn3/Ppqp2h8h2np9MrrVWAEYmISENK75rKrScODJXf/Hozry7aGGBEIlVTgiHSBC3btIc/\nzf4uVP7BkM6cO7J7gBGJiEhjuHJCX8b2TQuV73hjKeszcwOMSGR/YUswzCzRzO42sxVmlm9mm8xs\nupl1O4hztTWzv5nZWjMr8LfTzKxNNc8faGY/NbPnzSzDzJz/6F3f9yUSafKLSrj5hcUUlpQC0Kl1\nPH+YchhmWq1bRKS5i4oyHvjhUFoneDMF5hQUc/MLX1Ls/5sgEgnCkmCYWQLwPnA7kAy8DqwHrgAW\nm1nfOpyrPbAAuBEoBl4DsoGbgM/MrF0Vh10DPAicD9T6tUSaovtnL2fF1pxQ+S/nDqVtq7gAIxIR\nkcbUtU0iv59yWKi8cO0uHvswI8CIRPYVrh6M3wJjgHnAIc6585xzo4GfAR2A6XU41zSgP/AqMNA/\n1xDg78AheIlEZV8D9wPnAL2B76p4jkiT98F323jq0zWh8o+O6sOEAR2CC0hERAJx2tCunDW8/CaR\nae+tZOHaXQFGJFKu3gmGmcUB1/vF65xzoZ9WnXMPAl8Bx5jZyFqcqwtwAVAIXOucK66w+zZgO3Cx\nmXWseJxz7knn3C+dc68459bW7x2JRKZvN+/hhucWh8qDOqdw20kDD3CEiIg0Z3edkU73tokAlJQ6\nrnrmC9bt1HgMCV44ejDGA6lAhnNucRX7X/a3p9XiXJP9mOY457ZW3OGcKwBmAdHAyQcfrkjTs2V3\nPlc89Tk5BV7OnRgbzbTzh5EQGx1wZCIiEpSUhFimnVc+de2OnEIun7FA62NI4MKRYAz1t4uq2V9W\nf3g1+xvqXCLNQnZ+EVfM+Jwte/IBiDJ4+MLhDOrcOuDIREQkaEf0bscfzyr/WrR6+15+8u+F5BeV\nBBiVtHThSDB6+tsN1ewvq+9Vzf6GOpdIk1dUUsp1zy3m2817QnV3nZ7OcYd2CjAqERGJJGeP7M4t\nJxwSKi9Yk8ltL39FaakW4ZNgxIThHMn+trqb/vb625RGPtdBM7Ol1ezq15CvK1KRc47fzvyGj1ds\nD9VddXRfLhnbO7igREQkIt1wbH827MrlxS+832JnLdlEtzaJ/PIHgwKOTFoiLbQnEqEe+WAVL3yx\nPlQ+5fAu/GKy/qEQEZH9mRm/n3IYEwa0D9U9/lEGz87X3DfS+MKRYJTNGpVUzf5W/ja7kc910Jxz\n6VU9AE0yLY1i5uIN/OXdFaHyEb3a8sC5Q4mK0mJ6IiJStdjoKB69aASDOpff6PG717/h/eVbD3CU\nSPiFI8FY52+7V7O/rL42KXQ4zyXSJM3N2MHPX/4qVO7bvhX/uvQIzRglIiI1SkmI5akrjqRz6wQA\nSh1c/9xivt6wO+DIpCUJR4KxxN+OqGZ/Wf1X1exvqHOJNDkrtmZz1TMLKSrxBualtYrjqSuO1Erd\nIiJSa11SE5l++ZEkx3tDbXMLS5j69Ods2KU1MqRxhCPB+BTYDfQzs2FV7D/H386qxblmA6XAhMqL\n6ZlZPN5aGiXAWwcfrkhk2rbHW+siO99b6yIhNoonLjuCXmmtajhSRERkX4O7tubRi0YQ7d9auz27\ngMuf+pzduUUBRyYtQb0TDOdcIfCwX3zEzELfhszsFrw1Kz5yzi2sUH+9mS03s/sqnWsz8DwQBzxq\nZhVnufoT0AF41jm3rb5xi0SSvQXFTH36czZm5QFgBn87fzjDe7YNODIREWmqjj6kA/dNOSxUXrUt\nh6ue/YKCYq2RIQ0rXLNI3Qt8BowDVprZC2Y2H3gA2A5MrfT89sBAoEsV57oZbzD12cByM/sfM/sa\nuBFYCdxS+QAzG2Fm88selK+TMbNC/Y/r/zZFwq+4pJTrn1vENxvL17r43amDOSm9c4BRiYhIc/DD\nI3tw47H9Q+X5qzP55Stf45zWyJCGE5YEwzmXD0wC7sFbw+JMvC/5M4ARzrnVdTjXDmAU8He8nowp\nQCrwEDDKOZdZxWGtgdEVHgl+/bAKddUNHBcJjHOOO95Yygffla91MXV8H64Y3yfAqEREpDn56QmH\ncNbwbqHyzMUbefD/VhzgCJH6MWWwtWdmSwcPHjx46dLq1uETqZvHPszg/tnLQ+XJ6Z15pMI9syIi\nIuFQWFzKZdMXMG/1zlDdH886jPNH9QwwKokk6enpLFu2bJm/NEO9aKE9kYC8sWTTPsnF8J5tmHb+\nMCUXIiISdnExUTx+yUgO6ZQcqvvNa9/w0YrtBzhK5OAowRAJwGerd3Lri0tC5V5pSTyhtS5ERKQB\npSbG8tQVo+iYEg9ASanj2mcXsnST1siQ8FKCIdLIVm3L4SfPLKSwpBSAtkmxzLhiFGnJ8QFHJiIi\nzV23Nt4aGUlx3g9aewtLmDrjczb5sxiKhIMSDJFG5M1DvoDded485HEx3loXfdprrQsREWkcQ7ql\n8siF5eP9tu4p4IqnPmdPvtbIkPBQgiHSSLbuyeeSJz9jw67ytS6mnTeMkb3aBRyZiIi0NJMGdeSe\nM4aEyt9tzeby6QvIyi0MMCppLpRgiDSCjO05nPXoXJZvyQ7V/foHh3LyYVUtBSMiItLwLhzdk2sm\n9guVF63L4pzH54UWfRU5WEowRBrYonW7OOexufv8wb52Yj9+PEFrXYiISLBuO3EgF1SYqnbVthzO\nfnQu31X4QUykrpRgiDSg977dyoX/ms+uXO++VjNvle6fTx6EmaajFRGRYEVFGX+YMoSbjhsQqtuy\nJ59zHp/LZxXWzBCpCyUYIg3kxc/X85NnFpJf5M0WFRcdxUPnD2fqUeq5EBGRyGFm/PSEQ7j3zCGU\nLcWUnV/MJdMX8PbXm4MNTpokJRgiYeac4+/vreTnr3xFSakDIDk+hhlXHMlpQ7sGHJ2IiEjVLh7T\ni0cvGklcjPf1sLC4lGufW8Qz89YEGpc0PUowRMKopNRx++vf8MD/rQjVdUiJ54WrxjCuf/sAIxMR\nEanZ5CGd+c+PR9M6IQYA5+D215fyl3e+wzkXcHTSVCjBEAmT/KISrvvPIp6dvy5U17d9K169Zhzp\nXVMDjExERKT2juzdjpevGUeX1IRQ3cMfrOIXr3xFsb9IrMiBKMEQCYPduUVc+uQCZi/dEqob2qMN\nL109lh7tkgKMTEREpO4O6ZTCK9eMY0DH5FDdi19s4KpnFpJXWBJgZNIUKMEQqafNu/M49x9zWbAm\nM1Q3aWAHnr9yNGnJ8QFGJiIicvC6tknk5avHcWTvtqG695Zv48In5pO5VwvySfWUYIjUw8qt2Zz1\n6FxWbM0J1Z0zsjv/vPQIkuJiAoxMRESk/lKTYnnmR6M5Kb1TqG7xuizOeXwu6zNzA4xMIpkSDJGD\n9MWaTM55fB6bd+eH6q6f1J8/n3M4sdH6aImISPOQEBvNoxeN5KLR5Qvyrd6+l7Mfm8uyTXsCjEwi\nlb4FiRyEd5Zu4aInPmN3XvkCenefkc6tJw3UAnoiItLsREcZ9545hJ+dcEioblt2Aef9Yx5zM3YE\nGJlEIiUYInX0n8/Wcs2zCykoLl9A75ELR3Dp2N7BBiYiItKAzIwbjhvAH886rHxBvoJiLp/+Of/7\n1aZgg5OIopvERWqpuKSUaf9dycMfrArVpSTE8K9Lj2BM37QAIxMREWk854/qSVpyPNc/t4iC4lIK\nS0q54fnFbM7K58cT+qgnX9SDIVIb3+/Yy7n/mLdPctGpdTwvXT1WyYWIiLQ4JwzuxHNXjqZNUizg\nLcj3+7e+5dLpC9iUlRdwdBI0JRgiB1Ba6nh67hp+8LePWbwuK1Tfr0MrXr12PIM6tw4wOhERkeCM\n7NWOl68eS7c2iaG6OSt3cNK0j3l10Qat/N2CKcEQqcamrDwunb6AO95YSn5R+cqlZw3vxqvXjt/n\nD6qIiEhL1L9jCq9fP54TBpdPY5udX8wtLy7h6mcXsiOnIMDoJChKMEQqcc7xysINnDTtYz5ZVT4z\nRlqrOB6/eAQPnjeM1MTYACMUERGJHO2T4/nnJSP5y7lDSYkvH977ztKtnPTXj5n9zZYAo5MgKMEQ\nqWBHTgFXPbOQn720hOz84lD9iYM78c5Pj2bykC4BRiciIhKZzIxzRnZn9k+PZnz/8rGJO/cWcvWz\nC7nlxS9DU7tL86cEQ8Q3+5stnPTXj3l32dZQXUp8DA+cO5R/XDKS9snxAUYnIiIS+bq1SeSZqaO5\n6/R0EmLLv2a+umgjk6d9zJyV2wOMThqLEgxp8XbnFXHLC19y9bML2bm3MFQ/vn8as396NGeP7K4p\n90RERGopKsq4bFxv3rpxAsN7tgnVb96dzyVPLuB3r39DbmHxAc4gTZ0SDGnR5qzczuRpH/Pq4o2h\nuoTYKO4+I51npo7WQG4REZGD1LdDMi9dNZbbThpIbHT5D3X/nreWk/82h4VrMwOMThqSEgxpkXIL\ni7n9tW+45MkFbN6dH6of3rMNb904gUvH9iYqSr0WIiIi9RETHcV1k/rz+nVHMahzSqh+zc5czn18\nHvfPXk5BcUmAEUpDUIIhLc7CtZmc/Lc5PDN/baguNtq47aSBvHTVWPp2SA4wOhERkeZncNfWvH79\neK6d2I+y3+9KHTz2YQZnPPwpyzbtCTZACSslGNJi7Mkv4r63v+Xcx+exZmduqH5Q5xRev+4orpvU\nn5hofSREREQaQnxMND+fPIiXrh5H77SkUP3yLdmc8cgnPPTeSvIK1ZvRHJhWWaw9M1s6ePDgwUuX\nLg06FKmD7PwiZny6hic++X6fKfKiDK4+ph83HT+A+JjoACMUERFpWXILi7n/7eU8PW/tPvXtk+O4\n+ph+XDymFwmx+re5MaWnp7Ns2bJlzrn0+p5LCUYdKMFoWvYWFDNj7hr+NWc1Wbn7zr3dp30r/nLu\nUEb2ahtQdCIiIvLJyh3c9vKSfcZDAnRIieeaY/px4eieSjQaiRKMgCjBaBpyC4v597y1/PPj1WRW\nmHYWIDk+hqnje3P1xH4kxcVUcwYRERFpLLvzinj4/ZU8M38t+UWl++zr1Dqeayf257wjeyjRaGBK\nMAKiBCOy5RWW8Oz8tTz+UcY+61kAtIqL5orxffjxhD60SYoLKEIRERGpzrbsfP7x0Wqenb+WguJ9\nE43OrRO47tj+/PCI7rqtuYEowQiIEozIlF9UllisZkdOwT77kuKiuWxcb66c0Jd2rZRYiIiIRLpt\ne/J59MMMnluwjsJKiUbXVC/ROHdkD+JiNDFLOCnBCIgSjMiSX1TC8wvW8eiHGWzP3jexSIyN5tJx\nvfjJhL6kJccHFKGIiIgcrC2783nsw1U8v2A9hSX7Jhrd2iRyw7H9OXtkd2I1A2RYKMEIiBKMyJBf\nVMILn6/n0Q9XsXXPvolFQmwUl4zpxVXH9KO9EgsREZEmb1NWHo9+uIoXPl9PUcm+31t7tEvkhkkD\nmDKimxKNelKCERAlGMHKKShm5qINPPJBBlv27DvbRHxMFBeP6cVVx/SlY0pCQBGKiIhIQ9mYlccj\nH6zixc/XU1y67/fXXmlJXDepP6cP7arB4AdJCUZAlGA0vuKSUj5ZtYOZizfy7tKt5BXtuwBPXEwU\nF47qybUT+9GxtRILERGR5m59Zi6PfLCKlxdu2C/RSI6P4QdDOjNlRDfG9EkjqmzZcKmREoyAKMFo\nHM45lm7aw8zFG3n9y037DdwGiIuO4oJRPbhmYn86pyqxEBERaWnW7czl7++v5NXFGykp3f/7bNfU\nBM4Y3o2zhndjQKeUACJsWpRgBEQJRsPalJXHa19uZOaijazcllPlc1onxDBleDeuOqYfXdskNnKE\nIiIiEmnW7NjL4x9lMGvJJvYWllT5nCHdWjNleHdOH9qVDikao1kVJRgBUYIRftn5Rbz9zRZmLtrI\n/O93UlVzjI02Jg3syFkjujFpUEfNfy0iIiL7ySss4d1lW5i5eCNzVu6oslcjOso4qn97zhrRjRMH\ndyYxTt8pyoQzwdBSxtLoikpKmbNyOzMXb+LdpVv2W0ynzMhebZkyvBunHNaFtlrDQkRERA4gMS6a\nM4Z144xh3dieXcAbSzbx2uKNfL1xd+g5JaWOj1Zs56MV22kVF83kIV04a0Q3xvRNI1rjNcJGPRh1\noB6Mg5dXWMIXFXMRhgAAE75JREFUazN579ttzFqyab+Vtsv0SktiyvBuTBnejV5prRo5ShEREWlu\nVm7NZubijby2eCObdudX+ZzOrRM4Y1hXJg7syPCebVrkTFS6RSogSjBqL7+ohEVrdzFv9U7mr97J\nl+uz9pu7ukybpFhOO7wrU0Z0Y3iPNpjpFwQREREJr9JSx2ffZzJz8Qbe/noL2QXFVT4vLiaKkT3b\nMqZvGmP7pTGsR5sWsWq4EoyAKMGoXkFxCYvXZTEvw0soFq/L2m/VzYrioqM47tCOTBnejYkDO7aI\nD66IiIhEhvyiEv777VZmLtrIRyu27zfdbUUJsVEc0asdY/q2Y2y/NA7v3qZZLuqnMRgSuMLiUpZs\nKE8oFq7dVe1YijLJ8TGM6tOO4w/txCmHdSE1KbaRohUREREplxAbzamHd+XUw7uyM6eAWUs28d7y\nbXyxZtd+a27lF3lrcn2yagcASXHRHNHbTzj6pnFYt1RimmHCUR9KMKRWduQUsGJLNovXZzF/9c4q\nP4CVJcVFc2RvL9sf2zeN9K6t9QEUERGRiJKWHM/l4/tw+fg+FBaX8vVG7wfUef73nco/oOYWlvDx\niu18vGI74P2AemRv75aqoT3aMLBTSoufnEa3SNVBS7hFandeESu3ZvPd1mxWbPG3W3PIrGZQdkUJ\nsVEc2bsdY/qmMaZvGod3T22WXYgiIiLSMhQUl/Dluizmr85k3uodLFqXRWENd2wAdEiJZ2CnFA7p\nlMLAzskc0imFAZ1SSI6P3N/2I/IWKTNLBH4FnA/0BDKB2cDtzrmNdTxXW+BO4EygM7AFmAnc6ZzL\nquaYaOBGYCrQH8gBPgDucM59exBvqVnLKyxh1bYcP4HI5rst3nZzNbMrVCU+JoqRvdoytm8aY/ql\nMbR7yxgEJSIiIi1DfEw0o/umMbpvGjcxwJvEZt0u5q/OZH7GThav31XlJDbbswvYnl0Quq2qTPe2\niV7i0TkllID07dCq2c1aFZYeDDNLwPsyPwbYDMwBegOjgO3AGOfc6lqeqz0wDy9JWA18AaT7jxXA\nWOdcZqVjooCXgSlAFvAe0B44GsgDJjnnFtTrTdK0ejCcc+zKLWJTVh6bd+ezeXcem7LyWb09hxVb\ns1mbmVvlonYH0j45joGdU0K9FMN6tMxp3ERERETA+8F24dpdzF+9k8/XZPLd1myycovqdI7oKKN3\nWhKH+AnHUQPac2Tvdg0UcfUisQfjt3jJxTzgROdcDoCZ3QI8AEwHJtbyXNPwkotXgfOcc8X+uR4C\nbgAeBC6vdMxUvORiJTDBObfVP+ZsvMTjP2Z2aNm5moM9+UVszspn0+48NmeVJxCbd3sJxaasvBoH\nXVcnJT6GQzr73XqdkkP/3T45PszvQkRERKTpSoyL5qgB7TlqQHvA+4F3e04BK7bkVLrdPJvcwqrH\nrpaUOjK27yVj+17e/mYLuYXFgSQY4VTvBMPM4oDr/eJ1ZckFgHPuQTO7DDjGzEY65xbWcK4uwAVA\nIXBtpYTgNrzbry42s58757ZV2HeLv/15WXLhv/4rZvYGcDpwBvDKwb3L4N3zv8tYuS2HzX6PRE41\nczfXRXxMFAM6JfuJRHl3XZfUBK1FISIiIlJHZkbHlAQ6piSEkg7w1uDYmJXn3ZYeSjxyyNiWs9+0\n/gM7t27ssMMuHD0Y44FUIMM5t7iK/S8DhwOnAQdMMIDJQBQwp2KiAOCcKzCzWXi9FScDMwDMrA9w\nKN6tUG9W8/qn+6/fZBOMOSu3s2JrTs1PrCQxNpoubRLomppIl9QEerRL8gccpdCzXRLRUUokRERE\nRBpSVJTRo10SPdolcdyhnUL1xSWlrNmZu8942MO6pQYYaXiEI8EY6m8XVbO/rP7wMJ1raqVzlR3z\njXOuqpve6vL6EatLauJ+CUZcdBSdUxPokppA1zZeAtGlTSJdUxPokppI1zYJpCbGqjdCREREJALF\nREfRv2My/Tsmc/JhXYIOJ2zCkWD09LcbqtlfVt+rgc4VztePWOcd2YOJAzuEEocuqYmktYojSj0Q\nIiIiIhJBwpFgJPvb3Gr27/W3KQ10rnC+PuDNFlXNrn61PUe4NaesVkRERESaLy1aICIiIiIiYROO\nHoyygQFJ1exv5W+zG+hc4Xx9AKqb/9fv2Rhc2/OIiIiIiLQ04ejBWOdvu1ezv6x+bQOdK5yvLyIi\nIiIi9RCOBGOJvx1Rzf6y+q8a6Fxlxwwxs9h6vr6IiIiIiNRDOBKMT4HdQD8zG1bF/nP87axanGs2\nUApMMLOOFXeYWTzeWhYlwFtl9c6574FvgUTglHq+voiIiIiI1EO9EwznXCHwsF98xMzKxjxgZrfg\nrT/xUcVVvM3sejNbbmb3VTrXZuB5IA541MwqjhH5E9ABeLbSKt4AD5Y9p2JiYmZn4S2ytwp4vR5v\nU0REREREaiEcg7wB7gWOB8YBK81sDt66E6OB7XiL41XUHhgIVDX36s3AGOBsYLmZfQGkA0OAlcAt\nVRwzHW917yn+Me/5r3EM3grfFzvniuvzBkVEREREpGZhmabWOZcPTALuwVuP4ky8BGMGMMI5t7oO\n59oBjAL+jteTMQVIBR4CRjnnMqs4phQ4F/gZsAk4FTgMeAU4wjn32cG+NxERERERqT1zzgUdQ5Nh\nZksHDx48eOnS6tbhExERERFpetLT01m2bNmy6pZrqAsttCciIiIiImGjBENERERERMJGCYaIiIiI\niISNEgwREREREQkbJRgiIiIiIhI2SjBERERERCRslGCIiIiIiEjYaB2MOjCzPfHx8Sn9+vULOhQR\nERERkbDJyMigoKAg2znXur7nUoJRB2a2BUgC1gcUQllmkxHQ6zcHuob1p2sYHrqO9adrWH+6huGh\n61h/uob1V99r2APIdc51rm8gSjCaEDNbChCOFRZbKl3D+tM1DA9dx/rTNaw/XcPw0HWsP13D+ouk\na6gxGCIiIiIiEjZKMEREREREJGyUYIiIiIiISNgowRARERERkbBRgiEiIiIiImGjWaRERERERCRs\n1IMhIiIiIiJhowRDRERERETCRgmGiIiIiIiEjRIMEREREREJGyUYIiIiIiISNkowREREREQkbJRg\niIiIiIhI2CjBiHBmNsjMfmFmH5jZDjMrMrMtZvaqmU2o4djuZvaUmW0ys3wzW2Fmd5lZQmPFHwnM\nrJWZXWJmfzezz8yswMycmd1Zw3GuhoeuYy2uo3+s2uIBmNnEGtra/KBjjCRmlmhmd/vtKN9vV9PN\nrFvQsTUFZvZhDe1tctAxRgozG2lmv/T/zd1Qdo1qcdzlZrbAzHLMLNPM3jKzcY0Rc6Sp6zU0sztr\naJ9/bMz4g2ZmSWZ2ppk9aWbf+X/z9prZEjP7nZklH+DYwNphTGO8iNTLf4FuQA4wH8gEBgNTgDPN\n7Bbn3LTKB5lZf2Ae0B74BpgDHAH8DjjOzI5zzhU0zlsI3ADg3wd57F7g5Wr2lRzkOZuqg7qOaot1\nkgF8Uk29AH5S+j4wBtgMvA70Bq4ATjWzMc651cFF2KS8gvdvS2UbGzuQCHY7cEZdDjCzacBNQB7w\nLpAAnACcaGbnOOdeC3uUka3O19D3KbCqivqF9QunybkQ+Jf/398CbwCtgXHAXcAFZnaMc25bxYOC\nbodKMCLfcuBXwEvOufyySjO7Cngc+IuZveucW1bpuBl4X+gecs7d5B8TA7yIl5z8CrizwaOPDNnA\nk8Dn/uMU4O5aHrvDOXd5A8XV1BzsdZyB2mJtfaL2VqPf4iUX84ATnXM5AGZ2C/AAMB2YGFh0Tcut\nzrk1QQcR4eYBX1H+d28NEF/dk83seLwvdTuBsc65lX79WOBD4Ckz+9A5l9WwYUeUOl3DCp5wzs1o\nuLCajCLgn8A059y3ZZVm1gV4ExgOTMNLRMr2Bd8OnXN6NNEH8A7ggDsq1Y/y67cC8ZX2dQIK8XpC\nYoJ+DwFdt1/61+fOGp7ngDVBxxupj9pcR7XFWl/Lif51mhF0LJH8AOKALP9aDa9i/xJ/38igY43k\nB94XDAf0DjqWpvYA8r2vTtXuf8u/tjdXse9v/r6fBf0+Ivwa3ulfp8uDjjXSH8BY/1rlA3EV6gNv\nhxqD0bQt8bddK9Wf4m9nuUq3njjntuLdotIWOKphwxNRW5SwGg+kAhnOucVV7C+7nfG0xgtJxGNm\nicCxfrGqW2vVPiXcyr4HxgNpEDntULdINW19/e2WSvVD/e2iao5bhNf4Dsf7JUuq18rMfgP0BHKB\nxcCrzr8tQ2qktlg3A8zsPrx/KHbgjceY7ZwrDTasiFGb9gRee5Ka/cjM0oBSYAXwmnNuXcAxNWUD\n8b7obXfObahiv9pn3RxrZsPwxg5sAN52zrW08Rc1KfseWIR3NwBESDtUgtFEmVk/4FS/+Eal3T39\nbVUNq2J9r3DH1Qy1B+6tVPegmV3mnHsziICaGLXFuhnnPyr62szOdv49tC2c2lN4/bZS+S9mdo9z\n7p5Aomn6Dtg+nXN7zSwLaGtmKc657MYLrUm6pFL5HjN7Be/WKf3I57nJ386ucJdARLRD3SLVBPkD\nZGfgZagvVJHRl01ZllvNKfb625TwR9es/BuYjDeLVzLeQKpn8H5dftXMjgwwtqZCbbF2dgN/xhu8\nnOY/jsObOe4w4F0zSw0uvIih9hQeH+N9eesHJOH94vkboBi428xuOsCxUr2a2ieojdbGKuBWIB3v\nmvYALsKb3exsvH+HWzwzOxn4EV7vxe0VdkVEO1QPRgMzs5nAoXU87FLn3IID7H8I75711cC1Bxtb\nU9FA17BGzrnLKlV9CVxqZuuBX+P1bJxUn9doTEFdx5agvtfWH09QeUzB+2Z2FPABMAHvs35ffWMV\ncc79rlLVCuAPZvYF3uQhd5rZP51zeY0fnbR0zrlnK1XtBZ4zsw+Ar/Gm6B/jnGux6wOZ2SDgWcCA\n25xzS2o4pNEpwWh4ffB+HaqLpOp2+OMBrsGbleck51xmFU8r6zqs7jyt/G1T6Z4N6zUMgz8BvwAm\nmlmcc66wAV8rnIK4js2tLVanQa6tc67EzO7HSzBOQglGS2lPgXDOvesnGUcAo9G4qLqqqX2C2uhB\nc85tNrOn8Ho3JuP18LY4/oKis/EmSHnQOfe3Sk+JiHaoBKOBOeeGhetcZnY13q/mu4HJzrmqFqAB\nWId3O0/3avaX1a8NV2wNKZzXMBycc7vNbBvQBe9Wls0Bh1QrAV3HZtUWq9PA17Zs7EWXBnyNpqJs\nAHKzbk8BW4mXYKi91d0B26eZtQLaALs0/uKgtei/h2bWDm/RvF5AWbJVWUS0Q43BaCLM7HzgEbx7\n6k5xzn15gKeXdZWNqGZ/Wf1XYQqvRTGzKLxVNKH8Pkapmtpi/bX1t2prak+NQe3t4H0HFAAd/F+Z\nK1P7rL8W2z7NLBl4GxgMvApc6fyFLSqJiHaoBKMJ8Afy/BtvAN4U59ynNRxSNrvRaWa2z2qZZtYJ\n73aLXUBN55GqTcbrXsxwzu0JOpgIp7ZYf2f72+qmZm1JPsXrwe3nT19Z2Tn+dlbjhdR8mFkHvM8k\nqL3VmT9m5X2/eG4VT1H7rAczM2CKX2xR7dP/9/N1vMVr3wEucM6VVPXcSGmHSjAinJmNx1sUxYDz\nnHPv1nSMP3D0U6AjcH+Fc8UAjwKxwEPOuaIGCboZMLPzq5olysyOAf7lFx9p3KiaHrXF2jGzm82s\nR6U6M7OrgJ/irbr6WCDBRRB/vNPDfvERv6sfADO7BW9e9480V371zGycmZ1pZtGV6nsDM/F+PHmj\nmvnzpWYP+tvfmtmAskozGwtchbcS/ZNBBNYUmFkHM7vOzFIq1Sfj/Q0cjbf216tBxBcE/7P6PN6a\nUXOAs2ox9jPwdmhV965IpDCzXXj3yn2PN7VgVT5xzj1R6bgBwDy8MQJfA8uAI/EWZZkLHFt5ZeXm\nzJ/lp+yeza54095tpHye6M3OuSkVnj8DuAxvdpWleNPAHQKU/Wr6P8BFLW0BtLpeR/8YtcUamNka\nvPtlF+F91hPwpqftg7cI2k3OuYerPUELYmYJeIOPR+ONf5qDdz/yaGA7MMY5tzqwACOcmV2Od+/2\nFrz2loV3/UbitbuleJ/JbUHFGEnM7BT2nQJ0FN4Pfp9VqLun4rpIZjYNb32CXOD/gDjgBP+4c5xz\nrzV03JGkLtfQT3S/xxuo/DneZ7wD3m09aXjt9dRa3MnRbPjTRk/zizOB6u6cuNU5t6PCcYG2QyUY\nEc7MavM/6Gnn3OVVHNsDuBvvlp52eAN/ngf+4JzLD2eckc7/AnegxbfWOud6V3j+D/Dm3R4JdMab\nVzoTWAhMd8693GDBRrC6XscKx6ktHoCZ3QCciDfve0e8np2yL88POec+DzC8iGNmicCvgAvxktxM\nvFlVbtcv7wdmZocCN+AlZD3w7mnfC3wLvAQ8pulpy1VIyA7kCufcjCqOux5v+upCvBmP7nHOzQ1/\nlJGtLtfQ77n4Dd6aQP3xFrstwUs6ZgN/dc5tbMBwI46Z3QncUYun9nHOral07OUE1A6VYIiIiIiI\nSNhoDIaIiIiIiISNEgwREREREQkbJRgiIiIiIhI2SjBERERERCRslGCIiIiIiEjYKMEQEREREZGw\nUYIhIiIiIiJhowRDRERERETCRgmGiIiIiIiEjRIMEREREREJGyUYIiIiIiISNkowREREREQkbJRg\niIiIiIhI2CjBEBERERGRsFGCISIiIiIiYaMEQ0REREREwkYJhoiIiIiIhI0SDBERERERCZv/B+Zb\nkQmm91xKAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UhjYk8dgt5aL",
"colab_type": "code",
"outputId": "6b4194d2-f2d1-4564-ee01-bc62adea7a4b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
}
},
"source": [
"# spectral density of squared exponential kernel\n",
"def S(x,L):\n",
" sdsd = 1./(2*pi*L) # standard deviation\n",
" return normpdf(x, 0,sdsd)\n",
"\n",
"m = linspace(-1,1)\n",
"plot(m, S(m, L=0.5))"
],
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:3: MatplotlibDeprecationWarning: scipy.stats.norm.pdf\n",
" This is separate from the ipykernel package so we can avoid doing imports until\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fe7b32efb70>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
},
{
"output_type": "display_data",
"data": {
"image/png": 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gskavrdvbwjMAoG1oFAAgYP7S4GjC+PxsjemX7TANcGLZ6cm6bFxfr563mJ2a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\njfw/8O9M8pxJ/jsAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "glWdYyFRt5aQ",
"colab_type": "code",
"outputId": "8df1b000-c560-4e53-aa72-77f731712aac",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
}
},
"source": [
"z = randn(2*N) + randn(2*N) * 1j\n",
"w = sqrt(v) * z\n",
"f = fft.fft(w)[:N+1]\n",
"plot(t,f)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/numeric.py:538: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fe7b3251cc0>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
},
{
"output_type": "display_data",
"data": {
"image/png": 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UxN2Dsqx4pMZFahhN4K0uVBOEqrYB9I04NIyGiIjMiAkCEZnKPpPWH/gUp8UhKSYCACDL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\nyVQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "vWZxBHnIt5ad",
"colab_type": "code",
"outputId": "b0b59a3f-8911-4470-9faf-51cf22a85b10",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 53
}
},
"source": [
"%timeit fft.fft(w)"
],
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": [
"The slowest run took 52.15 times longer than the fastest. This could mean that an intermediate result is being cached.\n",
"10000 loops, best of 3: 34.7 µs per loop\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jocjYESUt5ai",
"colab_type": "text"
},
"source": [
"## Trigonometric polynomials"
]
},
{
"cell_type": "code",
"metadata": {
"id": "A59bc5Int5ak",
"colab_type": "code",
"outputId": "fac0e617-6499-4f50-a0e8-55d9bcfa04ce",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 556
}
},
"source": [
"def truncated_dft(M):\n",
" f = zeros(N+1)\n",
" for m in range(-M,M):\n",
" s = m/(2*T)\n",
" f += real(w[m]) * cos(2*pi*s*t) + imag(w[m]) * sin(2*pi*s*t)\n",
" return f\n",
"\n",
"plot(t, truncated_dft(25))"
],
"execution_count": 13,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fe7b322cb38>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 13
},
{
"output_type": "display_data",
"data": {
"image/png": 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oSp7jnsa1WexDaO6f455ERESLxwSBiMJG/5gDtd2jynprUfjtIADAFqEPgZOMiIgo0Jgg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\n/w9s5el9xqZPDgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "SuAF0LfXt5ao",
"colab_type": "code",
"outputId": "607d54cf-35fe-4a1a-9126-e94bab0e90ab",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 556
}
},
"source": [
"for M in range(10, 25, 3):\n",
" plot(t, truncated_dft(M), label=M)\n",
"legend()"
],
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fe7b3190908>"
]
},
"metadata": {
"tags": []
},
"execution_count": 14
},
{
"output_type": "display_data",
"data": {
"image/png": 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vvvoqCQkJPPTQQx0WV2tJgiCE6Hbq1nzbYv5BekgKqAZSMgO0ukBvE7+/bhB3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\nMyj9zFfxdhihfKqq0vHaa1R89GOofVp5VHdcJieijFzPGVenTcrSpoFkg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ToAACAASURB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\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"scrolled": true,
"id": "TU54j0tTt5at",
"colab_type": "code",
"outputId": "ff3d3414-c46d-43dd-bf01-67d5974782a7",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 574
}
},
"source": [
"def trig_poly(M,L):\n",
" f = zeros(N+1)\n",
" for m in range(-M,M):\n",
" s = m/(2*T)\n",
" amp = sqrt(S(s,L)/(2*T))\n",
" f += amp * (randn() * cos(2*pi*s*t) + randn() * sin(2*pi*s*t))\n",
" return f\n",
"\n",
"for i in range(3):\n",
" plot(t, trig_poly(25, L=0.5))"
],
"execution_count": 15,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:3: MatplotlibDeprecationWarning: scipy.stats.norm.pdf\n",
" This is separate from the ipykernel package so we can avoid doing imports until\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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franS8eCuAZiUENbsNR5GPRZMktc6rz2ShbP5ZXaJj8gp5LhIggAAQfIMn6qwmlqECQIR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BzapEBgdTrCAOFQ7SEYzPLLW8qbu6E3crU2DANBplxUWFaYpRxiE0LKupX5VKHygSKJupXbyX8y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\nh5B9pQkt2ocbuYxBc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3SQ49X5QsB8OL8W608b//vQG8W1LXhpdRYmv/M7/rnlIq/0N1ix\nmgCBMIKoKYCD9gu3qwUo2Kd3urjMaPuFKxaLnPuD4toW5IpKJcwaIBz/DMjfI4xn/9Owht6w0cCj\ne4DwdOG1S5uBn+8BuvpxJ4FlgS0vIKL1Av/S61334b284D5dtqm9C/+zJosfDw/2wEMT7bzOe5Cw\nICWEzyBWNXZIHtwBrVpNqPnLjPZlC5mIKbH+FvU/6MbP2Q9RHvRzyTNyCTodOedqF6YDsRUbjP7s\nT/BNgJeTFwBAzapxrPKYycs5f13/QZ9+JjqagHNrhXHaA0ZfQtyUnxpgh87bdsbshEBJv+Ibv15C\nfat5N/E+2p0HtYZFh0qDHRevwGmQl3oN7tXbKw5KIGamMO6lzGh2QiBvGFJe3ybZyRls7BKZo8UG\nuiHC10y72A1lwO7XhXH8PCDjGcPPd/MHlm3iGoG7yd0BrFwMdBrXHGgyB/8tcRRdqZqG79WzseJo\nsURe0Fhe23QBZXWCY/KbtydRY/Igwc/NCdPi9XsiiOVOj1Yc7bNajUbDYn+uOECwXJ+KpLwokPoP\nJDg4QzVqGT+8Q/0brtQbV3stl8klZWh9KTMSfwb1WcHo/DpucwwAlJ5AwgKjTm/tasXFWqGfKjWQ\nAgRbh2EY/P3WEXDWekLUtnTiX79eMtv1C642Y/1p4fP1uekxg/57cnCv3p4RlxllbwU0uj0OAjyU\nSI3w5seD2TTNYuVF2/8MdLVyxy6+wPyPAGMfNhyUnAGZ2PG6cB/nYNxhemreIC5ulAQ4mojx+NL9\nKQAM1BoWL/58hpM9NZJfTpXhl1NCKvbZ6dFICfcyx4qJfuLO6z0RWqWeCGODx0LOcF+adR11uHSt\nb1+aFysbUdPM7czJGEgcYM2NeEebyotuxGX841Bpv+bDmBpcOW681sf1fQimZqCzSoUAIbmvnyGZ\n3wrHI5cCDsYp9pyrOQcVy5V/uDq4Is7buPIkYnAS5u0iMfVcm1lmtueh93bkoLuCM8rPFQtHheo/\nYRBAAcJgJWYWINPWxbfWAKXH9U6fKyoz2jZI5U4bWrtwXNRkPTPBTAFC6Qmplvas1wFXE5sqFY7A\nom+AkaLSpJLDwIrbOc1uS1B+ijND68Y7CrIlP+Cfdwi7YrnVzXh3u3EyhZnFdfjfdUITYGqEl0QN\nghgcTIsPgK8rZ0jVqdJg89kKyfsejh5I8kvix4fL+9aHsC9HyB6MivA2r4iAiKqWKuQ35PPjjOAM\ni9xnUOMZijNuU/ih3/mvjb6EOINQ1VqF/Pp8PbN7prqpHeX1Qq9cnzYZSk8AFUKDsbHNyYC0vCjF\nPwXyPqi7EYOLhyZGITlMaJD/0y9nUd3HpuJjBbX49ZzgNfP8jBgoBnn2AKAAYfDi7A1EThLGvZQZ\nifsQ8qqbe5Q8tHb25lTzTZZ+bo5ICTPTTvbeN4XjkFROLq8vyBXAbcsljqYoOw6sWKjXt8IkavK4\nMqZuLXClJ3DPGsDVFxOi/fDQBKEm+8uDhdh4xrDGrMKaFjy+IhOdaq7cxMfVER8uHWUTH3r2hoP8\nek+EHtSMzNiHcH3/gaU4WnmUPw51C0W4R7ie2fZLcYxQZhTedBqozNIz+0Z8nX2R4Cs0eJpSZnRW\nlD0I8lAi0MNwOdIbOLZcOI4YDwQar6aWWS30rlB5kX3hIJfh/SUpfKlRXWsXnll5Gp0q00orO1Ua\nvLZJ6PtLDvPErckhes4YPNC3/WBG4qr8q179/QhfF4nk4fZBmEXYKSovmhEfCJnMDPXGpceB/N3C\neNpfAJkZfi1kcmD+f4C0B4XXyjOB7xcArWaSmq0rBr6/FWjRPpDJFMDi7wE/IYX68tw4xAa68eM/\nrjmLPZf1K1nlVjXhrs+Poqa5AwDgIGfw6b1ppFo0iBGrGZ0prUdetbTkTbxLnFWdhZYu0/pmaps7\nkFkiBMGTLRggHKkUjAkzQih7oIughEk4oxFUzNijy/XM7hlxn8rBCuMDhKyyev44ObwP8qaNFdJs\n77gndM/VQZemC2evnuXH1KBsfwz1d8Pf5glB7/Gia/jH5gt6ztDNx3tyJZLOr84fYZ5nEyuAAoTB\njNg1sq4QqNZfOzz3OjWjwUSnSiPZmZxhLvdkcfYgbAznc2AuZDJg3vvA2MeE1yqzgO/mc190faG+\nhAsOGkUZgQWfAEOnSqYpHeT4/L7R8NaWeXSqNXjs+0x8dbAQmuskL1mWxcYz5Vj438MSvfI3bx+J\nsVGWM7oiLE9CiIekMXRtpjSTlOibCA9H7n0Vq8LxSv0li7rYeVEwYwz0cMLIUDO45fYAy7I4WiFk\nEKi8SDeJYV74WjVXeOHcOqC5WvcJPTApTMhWn6o6hdbufi0DOVMqDhD6kPk98SWg0UpHeoYDcbfo\nn98Dl2svo02bcVXIFBIzOMJ+uGtsOO5IFTZOfjxWgk/3GVc+dzivBp/sFc65b9wQpA3x1nPGZwab\nOQAAIABJREFU4IIChMGMZyhXEtPN5V/1Tp+TKNTsny1rkNSEWjuH8mvQpNUUVjrIMDHGDI2PVRel\nsqZT/2R8Y3JvMAxw0zvAuKdF9z0PfD4NKMvUfZ4+rpwDvpzFuTd3c8u/geSlPU6P9HPFl/ePgbsT\n17Oi0rD455aLuOU/B/H1wULsvFiFbw8V4rb/Hsbzq85ItJv/b2GSZPeZGLyI/x3Xn5Z6IshlcowL\nHsePTS0z2ipq+Js7IshiO2k5dTmobefMDBkwSA9O7+UM+8XT2QGXvaehiuUezBlNJ3DyG6OukeSX\nBHdHdwDcDrxYPao3WJZFlihAMLk0tKtNuu6xj/bsT9MLYv+DRN9EKBV9KHciBi0Mw+CNhYmSgPWt\nrZfx1cFCg84vuNqMp1ee4j9Hw32c8b83xVtkrQMFBQiDHUmZkf4+hLhAd0SKZEF3DKIswrZzwlqn\nxPrDxdH4L4YbOPGFcByUBAyb3vdr9gTDAHPeACa+KLzWfAX45ibg5Nd6S8Nu4Owa4OubuPO7mf0G\nMOZhvaelDfHGykfHwV9kTnSpshGvb7mIR78/ib9vvij5End1lOPz+9Jwd/rgcxclemZBSigc5IIn\nwr4c6S7y9XKWxqrVNLR14XC+4LMwN7Fv/hv6EPcfjPAdAU8ny2QqbIXh4X5YoZolvHDiS0DVYfD5\nCplCkqUxpg+hqLYVje3cpgPDAIlhJv5bnVsLtGnLMx1cgNRl+ufrQOJ/QP0Hdo3SQY4v7kvDENFz\n0T+3XMT//XYJKrXunoTcqibc9cVR1GkV4ZwUMiy/Jw2uTmZ4LrEiKEAY7IjlTivPcHr+OmAYBnMS\nhTKjLWcrdc61JlRqznSkm5uTzPDg0VYPZK0SxmMfN3/2QAzDADP/zpUcdatPqTuALS8CK27jshn6\nqC8B1j4E/PII0O1mysiA+R8C4w3za0gK88S25yfhll7+/02N88fW5ydjtqgkjRj8+Lg6Yka8kEX8\n5lCR5H2xnGV5c7nRajW7L1WhS80FFb6ujhYtSztSQf0HxjAyzAsr1TPQwWoVpVqqgQvGSZ6aKncq\n3ngY5u8GD6UJqlYsCxz7VBgnL+WEOoy+DIvT1YICUlpgmvFrIWyKAA8lfnp0HMJ9BKncz/cXYOF/\nD+NEkbRfUKXW4IejxVjwySFUNXIBNsMA7ywaiUQLlVMOJLYV7tgj/nGAzzDgmvbL/PJvQPpjOqfP\nSwrBZ/sKAHAylqXXWq2++fRY4TU+UneUyzA93gz9B2dWCr4Hzt5A0qK+X9MQRj8E+MUCq5cBrVyJ\nBAr2AsszuJ6SpDuB8LGAix/nnXAli2vKy1oFqEWuj06ewO2fA3Fze7yNLnzdnPDJPal4prIRG06X\nI7O4Do3tXfBQOmBkmBduTw21yQ86guP+8ZG8zPGB3BrkVDUhNpArHQl0DUSCbwJvILW3bC+ivQ2X\ntf1NlOWbPSIQcguVF3WoOyQOyhQg9E5ymCeuwQMb1BOwRLGXe/Hock6O2cCNEXGGqby5HMWNxYj0\njOz1PEn/ganlRfm7udLMbsY+rnuuHgobClHXwTXRM2CQEpBi2noImyLEyxmrHsvAw9+e4BuOz5U3\n4M5Pj2CovyuSQj3RqdLgRNE13uOlm/9bmCRRibMlKEAY7DAMV2Z0+CNufHmL3gAhMdQDQ/1dUXCV\nUynZeKYcz0yP0TnfGth6Xsh0TIzxg7spO1BiWJYr7ekmdZnRRjt9InIi8ORhLnuQ/ZvwevZv0rEu\nwtOB278AvIeYvIThwR4SVSvCPhg31AfDgz1wqZJzU//mUCHevH0k//7UsKlCgFC6F48kPWLQdWub\nO7A3WyhZusmC5UWZVZloV3NN9M4KZyT7J1vsXrbCiBBPyBjgG/VcIUCoPAMUH+I+jwwg0DUQsd6x\nyKnLAcD1qRgSIIgVjFJMVTA68L5wHD0LCDCt1lssbxrjHcM35hNEqJcz1j05Hn/fdAFrRFLQBVdb\n+OclMe5KBd5fnGI+PyYrhEqMbAFxmVHRQb1a+wzD4DZRtLvhTIXJzpj9gUbDYvsFQZZzbqIZyl7K\nTwG1ucJ49EN9v6axuAcBS1dysqQBBup4u4dwDs8P/Nan4ICwXxiGwUMTIvnxL6fKUdss1KJPCRdM\ntc5ePYvatlqDrrspqwIqkXrRBAu6Jx8oO8Afjw0aC0e5o8XuZSs4O8oRG+iOy2wEDqlFnzcHPzDq\nOhNCBbnTA+UH9Mzk6FRpcKGikR+bpGBUcgwoFvU8THrJ+GtokfQfkLwpcR2uTgr8vzuTsfLRdKTr\nKJF0kDNYPDoMO1+cYtPBAUAZBNsgbAzg6s/p4bNqIG+33pKZBSkh+PdObhcor7oZFyoarbasJLOk\nDlebuAcYuYzBrOFm+IXMWikcD5kIeEf2/ZqmwDBAwgIgfj6Qtws4vxYoPgw0lApzlF5ARAYwYiGQ\ncGv/ZjoIm+TWlBC8vS0bNc0d6FBp8OXBQrwyl9uRHe4zHAEuAahurQYLFgfKD+C26Nt6veaak8KO\n28JRYRYrLwKA/WX7+ePJYZMtdh9bY1SENy5facKn6vmYINdqvuftBK6cB4IMk/qcFDoJ35znlIRO\nXjmJdlW7XhWg8xUNvAGVo0KGuCB34xd+8N/Ccfg4YMh43XP1wLIsTlw5wY+p/4DQxfhhfhg/zA+l\n11pxJL8WlQ3tkMuAIb6umBzjbzF3eGuDMgi2gEwGxMwRxtlb9U4f4uuKURHCTo6h7roDwW8i+/KM\nob7wdu3jbqGqAzi/ThjrkAbtV2QyIHY211Pw4nngT+XAS5eA/y0BXikC7l4FJC+h4IAwC04KOR6a\nGMmPvz9chLoWrq6WYRhMDZvKv7e3dG+v1ztdUoeLlcIu8aI0y9XjFjUUoaSphB9PCp2kZzYhZrRW\nn/2AJgm5sqHCG4cMzyKk+KfARcH1rHWoO3Cy6qTe+SdFTZ4pYV5wUsiNWDGAqgtAzjZhPOl/jDtf\nRGlTKapahWz06KDRJl+LsA/CfVyweEw4np8Zg2emx2B+cojdBAcABQi2g7hZNW8noFbpngtg4Sjh\nS3xTVoVEE91aYFkW20W66jclmaG8KGe7UIKlcOZ28K0NJzfAIwRQelpWWYmwW5ZlRMJL+0XX0qnG\nlwcL+PfEZUaHKw6jQ61fDvPbw0X88ZhIb0QHmLBLbCDispYY7xgEu1mu18HWGB3ZrfrD4MN2kTz2\n+V+knip6cJA7SDwnDpXr98s4USSUuwr3N4J9bwvHgUlAzCzdc3tB7N0wzHMY/JwtVwZHELYABQi2\nwtBpQHctbnsDUHpU7/RbkoL5MoCqxg4cKzCs1rg/OVVSh4oGrhmRYYDZCWYIEM6tFo6HzwOU1KRG\n2B9uTgo8OknYRf72UBFfypcenA5nBZetalO16XVVrmpsl2T5HpwQZaEVc0jKi0KpvMgYInxc4OfG\nfUds1YxFq2s49warBg5/bPB1rpc71QXLssgsFgKEMZFGyt5WahXcupn0Up82TMQBwpigMSZfhyDs\nBQoQbAUnNyBSlG4Xp2V7wNfNCZNFbsQbrLDMaOOZCv44Y6ivxOTLJDqagdydwjhpcd+uRxCDmGUZ\nQ+DpLGQR3t2eDQBwkjtJTLH2le3TeY1P9+Xz3gfBnkrMtmDTXktXi6SkhfoPjINhGKRpy4zUkGO/\n/93Cm6dXAM1XDbqOOEAoaixCWVPP3jsFNS24xpeuAakRRmYQ9rwhHAcmAQm998Lo4vr+g7HBY02+\nFkHYCxQg2BKxojKjbP0BAgDcJioz+vVsJVo69Jcl9Sddag1+FRm5LUgJ6ftF83YCKi4jASdPYOjU\nvl+TIAYp7koHvDhTkDhenVmKc2UNAICp4VP5138v/R0a9kZX0arGdvx4TOgHeHTSUCjklvtKOVpx\nFCoN9xnl4eiBkf4jezmDuJ7RQ4Rd/BVtGZy4BcB9LhrYixDiFoKhnkL2SVeZkbj/IDbA3bja7dLj\nQO52YTz9L1yvlokUNhaipk1w+R4dSP0HBNEbFCDYErGiRuXaXKBWvxPqnBFBcFdyQlYtnWr8es56\nnJUP5dWgVrv75CiXYa45dNXF6er4mwEFySMS9s2944YgNtANAGcP8reN56FSazA5bDJkDPf1UN1a\njbNXz95w7rvbs3mFmgB3J9ydHmHRtYozGRNCJ0AhIxE+Y0kdIuzinyhvh2rc08KbJ74Emq70cNaN\niOVOdZUZmdx/wLLA7teFcWiadPPLBE5UCtmDWO9YeCtN6IcgCDuDAgRbwnsIEJAgjHspM1I6yCU7\n82tOluqZ3b+Iy4umxfvzpRAm09kK5OwQxtbYnEwQ/YxCLsNr8wVd/DOl9Vi+Nx++zr6SXdadxTsl\n52UWX5OYCT09LRpKByMVaoxApVHh99Lf+fGUsCl6ZhO6SAz1gKOC+9rvVGlwNngx4Kp1ple1Awff\n13O2wMQQoczo2JVj6FR33jBHnEEwqv8gZxtQJPJYmP63Pos1HLtyjD8eG0TlRQRhCBQg2BqSMiP9\ncqcAsHh0OH98oqgO+VebLbEqo2jrVGP7BWEnyyw25vm7gS6tG6KjO9fUTRAEJkT74fZU4Xfsg925\nOJhbg9lDZvOv7SzeyRsqNrZ34aXVWfx78UHuuMfC2YOTVSdR38E58jrIHChAMBEnhRypIonrQ8Wt\nUuOxk18DDb33o6UFpUka2U9ekcqdVtS3oai2lR+P0WE6dQOqDmD7n4Xx0Kl9LgXVsBrJ+ihAIAjD\noADB1oi7STguOQK01eueCyAp1BPxIvOa1VaQRdh1qQqtnWoAgLuTAtPjA/p+0cu/CsexcwAH3eY+\nBGFv/P3WEQj14h741BoWT/6YiSDFaDDgdm4rWypxruYcOlUavLDqDIq1D38MA7yxMNGivQcAsKt4\nF3+cEZIBN0c3i97Plhk/TBCnOJxfC6Q9CLhrSzjVncD+d3q9hpPcCeOCx/HjPaV7JO8fyhPq/SN9\nXfifrV459hlwTSu5y8iAOW/2OXuQV5+Hug6u3EnGyJAWRAZpBGEIFCDYGqFpgIsvd6xRcTvnemAY\nRpJFWJdZji71jQ2J/claUenCnMSgvpcuaNRArqi8KP4W3XMJwg7xUDrg03vT4Kz9XWtqV+HJ73MR\n4SI47G7I2YqHvzuBPZer+ddemBGLtCFGylcaiYbVYHeJ8Dk2a4jpWvgEMH6YL3+cWVKHdjhIDchO\nfc8ZlPXCtHAhC7u3dC+fYQK0gUf3/aIN9Btorgb2iYKT0Q8DgQm65xuIWL0o3iceHo4kbU0QhkAB\ngq0hk0tdlXO2656rZeGoUDhqdwBrmjuw62JVL2dYjvL6NuzPFeT2xKUPpl/0FNCq/cKSKYBh0/t+\nTYKwMZLCPPHh0hQotP4orZ1qZBcIajWrL/2KA6LfzVkJgXh2erTF13Wm+gyvQKNgFJIHU8J4ksO9\n4OLIBYKdKg1OFdcBqfcDvtp/S1YDbPsT1yysh8lhk/kMU1VrFS5eu8idzrKSDII4INHL9j8DnU3c\nsdILmPZn/fMNROzjQeVFBGE4FCDYImI1o9wdvboqe7s6Ym6iYEL23ZEiy6zLANacLOW/lyJ9XZAx\n1MAvF32Im7UjMgBnL91zCcKOmT0iCF8/MAau2gdIVdMIsCz3EMg41EGm5LJ7NycF4ZO7UyGTWd7p\nW9wgPSZoDDydPC1+T1vGQS7DWFFPwOH8Wk7RbbbId6BwX+9eOs6+SAlI4ce/l3BN5PlXm1HdJLhv\nG/QZnr0NOLdGGE/7M+DS98yUSqOSZBDIII0gDIcCBFtk2HRAplX9aasDyk7onw/g/vFD+OOjBdeQ\nfaXJUqvTiVrDYs1Jobxo8ZhwMH2sPwUgzaKIgyeCIG5gcqw/drw0BXNHBAFqD6jbhM8Gd9+zeOv2\nJHx8VyqvhmNJWJbFrhKh/2DmkJkWv6c9IN7VP5Sv3e2PnSMVb9j+F65pWA/ibE63ytShPKG8aHiw\nB3zdejG4bG8AtrwojMPGAmMe6eVvYBjna86jqYv7LlPIFOR/QBBGQAGCLaL0ACIFnWrk9K5mlBrh\njREhQm3m90eKzL+uXjiYV4Py+jYAgFzGYFFqWN8v2lAOVJ0Txn3U0yYIeyDUyxmf3peGY3+egTvj\nbuVf9/Q/jztGB/dL5gAAzlw9gystnKIZAwbTI6g80ByIG5XPljWgoa2Lawae839cczAAXMsHDryn\n9zriACGnLgdlTWU4KCovmmBIedGOvwFNWllruSOw4GOuVNYMHK44zB+nBqTCxcHFLNclCHuAAgRb\nJVakZmSAqzLDMLg/I5If/3KqnPvS6Ed+PiG4sk6LC0CAhxmUhsRunD5DhTpbgiB6JcBdiT9MXAJH\nGWcqWNdRh4NlPRtjWYLN+Zv547HBY+HnbGDDK6GX4cEe8HHl/k3VGlboLQlMAMY8Kkw88B5w5bzO\n60R6RiLKM4of7yr+XdJ/MCGml3+vixuBU98J4ykvA/5xhv9FeuFQheDyPD5kvNmuSxD2AAUItoq4\nlKYmG6gr6vWUW1NC4OXClSa1dan71TituqkdO0XN0UvHhOuZbQTi8qKYOX2WzCMIe8PD0QPTIoSd\n4k35m/rlvp3qTmwvEn5/5w+d3y/3tQfkMgZT4/z58e5LgjIVZvwN8NR+/mpUwManAdWNRmjdiLMI\nm3N38hLVzg5y/f0HdUXAxmeFcXAyMOEFo/4e+mjoaMD5GiG4oQCBIIyDAgRbxScK8IsVxrk7dc/V\nonSQY4nowfybQ0X9Jnn6w9ESdKm57uQgD6Xky8tkVB1AwT5hTP0HBGEStw4Tyoz2lu1Ffbt+fxVz\nsL9sPxo7GwEASrmS+g/MzMzhgfzx79nVUGu06hBO7sD8D4SJlWeA3f/QeR1xgJDbmAXIOI+MSTF+\nuiWqO1uA1cuAjgZu7OgGLPoGkDuY9pfpgWOVx6Bhue8vH6UP4nzMl5kgCHuAAgRbJlqkF563S/c8\nEfdnRMJBzu2yl9e3YcPp3l01+0p7lxo/Hi3mx8vGDzGP8VLZCUDF9TRA4QwMoR0kgjCF8SHj4avk\ndoNVGhW2FfVetthXxJmK6RHT4ergavF72hOTYvx4Sdv61i6cKqkT3oyeyUmfdnPkY+Dybz1eJ8kv\nCT5KTnGIhQYKt2wA0gBEgkYDrH8cqBTcuDHvA8B3mOl/mR4Q9x+MDxkPGUOPOwRhDPQbY8vEiHbc\nCvcDXe29nhLi5YyFowTvgeX78oWdJQuxKasCtS1cClvpIMNdYyLMc+HCA8JxxDhA0YuaBkEQPaKQ\nKXDLUMFgcEPeBover6atBgfKhN/f+cOovMjcuCsdkD5UkBKVlBkBwNy3gACRUdkvjwFXzuF65DI5\npoZP5ccK94tgGGBafMCNN2VZzu/gktBbgrGPAyPvNPWv0SMsy1L/AUH0EQoQbJkhE4Bu1YauVqDk\nsP75Wp6YMgzdIiUFV1uw/cIVCy0Q0GhYfH2wkB/fnhoGb23zXJ8pEjVTRk0yzzUJwk4RlxldqL0g\nqe82N+tz10PFcv4tAS4BGBc8zmL3smdmxAu7/LsuXWeQ6egC3Pkd0J256WwCflgE1BXjesRlRgq3\nbIwMd4G/+3UbMiwL7PgrcGy58Fr0LE45ycwUNhby6lcAkBGSYfZ7EIStQwGCLaNwAqKmCONcw8qM\nhvq74eakYH788Z48sL24aprKzktVuCzyXHhwfKR5LtzVBpQJDpqInGye6xKEnRLnE4dRAaP48U+X\nf7LIfdQaNdbkCKZZi2IXQSFTWORe9o64DCivuvlG/xv/WODObwBG20vQfAX45mbgarZkWkZIBhiW\nU51jZJ2IHlImvY6qA9j0DFeq1E1wCrDoa0Bu/n9bcfYp3iee1K8IwgQoQLB1xGVGeb03Knfz1FRB\nDvRiZSO2nTd/FoFlWXy0O5cfzxkRiJhAd/NcvPQ4oNYqbzi6ASEp+ucTBNErS+OW8sfbCrehrr1O\nz2zTOFh+EJUtlQAAOSPHHTF3mP0eBEeErwuSwwRn6k1ZPfScxc6RNi03lgFfzQby9/AvFV7tQGdj\nPD9uczglzL9WCHx3K3D6B+G1oJHAfes5zx4L0G3aBgCTw2hziCBMgQIEW0fcqFyTY5DcKQAkhHhg\nVoKwu/TO9myzKxrtuVyNCxWN/PjZ6THmu3iRuP8gw6zqGARhr8waMotvVu7UdGJd7jqz32NV9ir+\neFr4NAS49FDLTpiN+ckh/PHmrMqes8Wpy4Cb3wWgrT1trwdWLAQ2PQc0VmLjmQp0NY7kp5+8eght\nzdWcj8J/M4DSo8K1wtOBZRsBFx9Ygvr2epyuPs2PxeVPBEEYDgUIto73EKPlTrt5eU4c34tQWNOC\nVcdL9J9gBGoNi3d35PDjmcMDkBjqqecMIxE3KEdONN91CcKOcZA74M44oaH0x0s/okPdYbbrZ1/L\nxsFyoXdocdxis12b6Jl5I0N4e5iSa604UaQjKzT2UeDObwG5qLfg1HdgP0jEhONP4+H2HMjVXClS\nm6oNBz8fC+x+XVCSA4CUe4D7N1ssOACA/eX7eXlTf2d/JPgm9HIGQRA9QQGCPWCC3CkAxAS6S3wR\nPtiVi/pW3YY5xrDmZCkuVQrZg+dmmDF70NkClGcKY2pQJgizsSROcFauaavBhlzzKRp9ff5r/jje\nJ56ak/uBIE8lJgwTavT1bgSNuA14dDfgP5x/idGoMFFzEn9WrMZNbcJn+nYn0eOFqz9wx1fAgk8s\nria3t3Qvfzw1fCrJmxKEidBvjj1ggtxpNy/MjIWz1uymtqUTb/52uc/LaWrvwrs7hCa3haNCMTLM\nq8/X5Sk5Cmi6uGMnDyAo2XzXJgg7x8/ZDwtjFvLjr89/ja7u37c+UNpUKvFXeDjxYTDkfN4v3DVW\nkJbecq5S/0ZQUBLwxAHgpncAj1DJW7NbWvnj/S7OaFN6ABOeB54+DiQtsriTfYe6Q5KBEsuvEgRh\nHBQg2AMmyp0CQKCHEi/MFHb3fz5ZiqMFtX1azr935qCmWfA9eHmumR0uxf0HQ8ZbRCWDIOyZhxIf\ngoLhfq8qWiqwJX9Ln6/51bmv+NKQCPcIzBoyq5czCHMxKyEQvlp56U6VBj8dL9V/gtwBSH8cJfcd\nxbLOP2G5aj62q0cjwS0JbtrHijaZDPsWfQLMet2iJUVijlceR5u2pMlZ4Yz04PR+uS9B2CIUINgD\nCicgSqTkYKDcaTcPT4xCQrCgNvHHtVloaDNtx/Bwfg2+OVTEjx+fPAzBns4mXUsnkv4DKi8iCHMT\n4haCecPm8eOPT3+M1q5WPWfoJ7cuF+vz1vPjBxMfhFwm79MaCcNxVMiwdKxQTvrVwUK0d6l7PW/5\ngWLs1yThbdVdeNPjr/B/Ygemi34uNhdvt8h6dSEuLxofMh5OcjLHJAhToQDBXog2Te4UABRyGd68\nPYlvWC691oaX12YZ7Y3Q2N6FP645y49jAtzw5NRhRl2jVzqagApBwYL6DwjCMjyR/ATfi1DdVi3p\nHzCW906+x2cPIj0isSB6gVnWSBjOgxOi4KTgHglqmjvw8wn9WYTKhjasyxT8Dp6YMgwyGSMx1DtU\nfgg1bTWWWfB1qDVq7CkVpFepvIgg+gYFCPZCzPVypze6YeojOdwLL8wU1JC2X6jCZ/sLDD5frWHx\n4qozKK/n0r8KGYP3l6RA6WDmXcLiIwCr3flSegGBSea9PkEQAIBQt1AsG7GMH3974VuUN/ego98L\n+8v241DFIX78UtpLcJCRLHF/4+fmhKUSUYocvb0I//fbZXRqpa+DPZW4PTUMADAmaAyCXIMAAGpW\njd8KfrPgqgUyqzL5YETBKEjelCD6CAUI9oJ3JOArUgoyMosAAM9Mi8bkWH9+/NbWy1h9spdaVXCG\naK9tOo/dl6v5156bEWNeWdNuivYLx5ETARn9iBOEpXgk6RHepbZD3YG/H/47nwkwhKbOJrx+5HV+\nPDZoLO38DiBPTYuGqyO3aVPX2oW3t2X3OO9gbg02Z1Xw4+dmxMBRm32QMTLMGyoqMyrYbMEVC2wt\n2sofZ4RkwNPJAt8vBGFH0NOTPREzWzg2sg8BAGQyBu8vTka4j9Az8PLas1i+Nx8aTc/lRh0qNV5Z\ndxY/HBWk82YOD8Qz06J7nN9nqP+AIPoNVwdXvJT2Ej8+WnkUP1760aBzWZbFG8feQFVrFQBAIVPg\nlbGvkHLRABLoocSzIsnpn46XYOMZaVboSkM7XvhZKONMDvPEktHhkjnzh83njy9fu4zsaz0HGuai\nS9OFncXCptdNUTdZ9H4EYQ9QgGBPXC93qjLe4MjXzQkrHkqHn5vQ/PX2tsu47+tjOFtWz/claDQs\nDuXV4LZPDmP1SaFONTncCx8sTYFMZoGHgLZ64IrQ40D9BwRheeYNnScp53jv5Hs4Vnms1/N+uPQD\nfi34lR8/mfwkYr1j9ZxB9AcPTojEiBBBlOIPa7Kw+mQpWJZFblUTln5+hFehc5TL8K/bkm74PB/q\nORRJfkJ55+Z8y2YRjlUeQ0NHA7cmmSOVFxGEGaAAwZ6QyJ22AMWGy52KifRzxZonMiSZhEN5tbj1\n40OY+PbvuP2/h5D+5m7c8+UxiRla2hBvrHh4LNycLCQ7WnwY6C5vcPGVmPkQBGEZGIbBaxmvIcAl\nAABXd/7cnudwquqUznPW567H/zvx//hxWmAaHkx80OJrJXrHSSHHp/emwdOZ6wPpUrN4ee1ZpP1r\nF2Z/sB9FtYJa1T8WjEBSWM+lPOIswuaCzehUm8dksyfEfQ6TwibBzdHNYvciCHuBAgR74nq5UyNc\nla8nys8VG56agJnDAyWvl9e34VRJPa42SbMT946LwMpH0+GhtGDzodj/gPoPCKLf8HX2xUfTPuJl\nJVtVrXh0x6NYeWklVBoVP6+1qxXvnHgHrx5+FSy4bGOQaxDem/IeNSZbEeE+LvjuobG8NwIAXGvp\nhFi47o9z4iQGa9dzc9TN/M/DtfZr2FVs+veNPpo6myTlRXOj5lrkPgRhb9ATlL0hkTvUxjPlAAAY\nlElEQVTt2we2r5sTvliWhs/vS0Ny+I1OyDIGmBTjh3VPjse/bkuCk8LCuubUf0AQA8YIvxH4cNqH\nvPRpp6YTbx5/E7f8cgv+cvAveHnfy5i9bjZWXFzBn+Pv7I8vZn0BX2ffgVo2oYOUcC9seHoCpsX5\nS14f4uuCL5aNxtO99JF5OnlibqTwsP5z9s8WWefWwq1oV7fz95wePt0i9yEIe4MsZu0NcYBw9TJQ\nXwp4heue3wsMw2D2iCDMHhGEyoY2nC9vRGNbF/zcnZAQ7AF/934yqmm9BlSdE8biTAlBEP3ChNAJ\n+HTWp/jDvj/gWvs1AJzT8qb8TTfMjfaKxofTPkSEh+5daGJgCfdxwTcPjkV1YzsKa1rg7eqImAA3\ngxvJl8Qtwcb8jQCAU9WnkFOXY/Y+kw15G/jjeUPnwVHuqGc2QRCGQhkEe8MnCvAV7fz0MYsgJtjT\nGbMSAnFHWhimxPr3X3AAAEUHhWO3QMCPmh0JYiAYEzQG625dh1uH3Qo5c2PW0FnhjEeSHsHKW1ZS\ncDBICPBQIn2oL2ID3Y1SmUr0S0SCbwI/XnV5lVnXlVuXi3M1wsbQwuiFZr0+QdgzlEGwR6JnArV5\n3HHeLmC0DTQHXt9/QFKJBDFg+Dn74Y2Jb+DZUc/iSMURFDcWQ8bIEO8Tj/TgdNKotxMYhsHSuKV4\n9fCrAIBN+ZvwdMrTZispE5ctjfAdgTifOLNclyAIChDsk+hZwLFPueOCfYCqE1AM8rQs9R8QhNUR\n5BqEhTG0q2vP3Dz0Znx46kPUtteiQ92BHy/9iOdSn+vzdRs6GrAxbyM/XhS7qM/XJAhCgEqM7JHI\nCYBCyR13NgFlxwd2PX2l+Spw9ZIwpv4DgiAIq8BJ7oR7E+7lx6uyV6Glq6XP112dvZpvTvZR+kjc\nmwmC6DsUINgjDs6cJ0I3uTt1zx0MiMuL3EMAn6EDtxaCIAhCwuK4xXB1cAXAyZL2tRehU92JlZdX\n8uMlcUug7N70IgjCLFCAYK/EzBKO83YP3DrMgThAiJpE/QcEQRBWhIejBxbHLebHX53/inc+NoWN\n+RtR01YDgHNOXhK3pM9rJAhCCgUI9opY7rTqHNBYOXBr6SuF1zUoEwRBEFbFgyMehJsD53Dc1NmE\nL899adJ1OtQd+CzrM348f9h88tEgCAtAAYK94hsNeIkkBvMHaRahsRKozRXG1KBMEARhdXgrvfFw\n0sP8eOWllShvLjf6Oqsur0JVaxUAwEHmgMdHPm62NRIEIUABgr3CMJyaUTdm9EPoV8T+B57hgHfk\ngC2FIAiC0M09w+9BgEsAAM5p+19H/wWWZQ0+v7q1GsuzlvPjxXGLEewWbPZ1EgRBAYJ9Iy4zyt8D\nqFUDtxZTKdovHEdS/wFBEIS14qxwxotpL/Ljg+UHe3TZ7gmWZfHW8bd4BSQPRw88NvIxi6yTIAgK\nEOybqMmAzIE7bm8AyjMHdj2mUHhdgzJBEARhtdwSdQsmhAgqem8cewMFDQW9nrchbwN2FguKe8+n\nPg8fpY9F1kgQBAUI9o2TGzAkQxgPtjKjhjKgrlAYU/8BQRCEVcMwDF7NeBXuju4AgDZVG57d/Syv\nStQTZ6rP4I1jb/DjMUFjcEfMHRZfK0HYMxQg2DviMqO8QeaHIM4eeEcCXuEDthSCIAjCMELcQvDG\nBOGBv6SpBI9sfwSlTaU3zD155SSe3v00OtQdAABPJ0+8OfFNyGXyflsvQdgjFCDYO+JG5YrTnCvx\nYEHsf0DZA4IgiEHDtIhpeD71eX6c35CPxZsX44uzXyC3LhcXai7g7eNv49Edj6KxsxEAp1r0/tT3\nEegaOFDLJgi7QTHQCyAGmIDhnPtwUwU3zt8DJA8S0xlJ/8HkgVsHQRAEYTQPJz6MDnUHPs36FADQ\n3NWMj05/hI9Of3TDXEeZI96Z/A7GBI3p72UShF1CGQR7h2GA6BnCeLD0IdQVAQ0lwpgyCARBEIMK\nhmHwdMrTeGvSW3B3cNc5L9g1GN/M/QYzhszQOYcgCPNCGQQCiJkFnF7BHefvBjQaQGblsaM4e+Ab\nDXiQFjZBEMRg5JahnLLR9xe/x++lv6OwoRAMGCT4JmB25GwsiVsCpUI50MskCLvCKgIEhmHiASwA\nMBdAEgBPALUADgN4n2XZA3pOJ/pK1BSAkQOsGmitBSpPA6FpA70q/VD/AUEQhM3gpfTCc6nP4bnU\n5wZ6KQRBwHpKjHYBeAvAaACnAfwC4CqAhQD2MQzzwgCuzfZx9gLCxwrjvN0DtxZDYFnyPyAIgiAI\ngrAQ1hIgXAawDIA/y7KzWJZdwrJsEoAnADAA3mUYJmFAV2jrSOROrbwP4VqB0FQNUAaBIAiCIAjC\njFhFgMCy7EyWZVewLNt+3eufAdgBQA7gzgFZnL0gDhDKTgCt1wZuLb0hLi/yjwfcAgZuLQRBEARB\nEDaGVQQIvZCl/W/IgK7C1gkaCbhqH7RZDVCwd0CXo5dC6j8gCIIgCIKwFIMhQBiq/e+VAV2FrSOT\nDQ65U5aVZhCo/4AgCIIgCMKsWHWAwDDMMADztMNNA7kWu+D6PgSWHbi16KImB2iuEsZDJg7cWgiC\nIAiCIGwQq5A57QmGYRQAvgXgBOBnlmUzjTj3go63hplhabbLsOngesJZ7iG86jwQlDTQq5JSuF84\nDkwEXH0Hbi0EQRAEQRA2iFkCBIZh1gMYbuRpy1iWPa7n/Y8ATARQAOApU9dGGIGLD+d/UH6SG+fu\ntL4AQdwbETVlwJZBEARBEARhq5grgxAFIM7Ic1x0vcEwzF8APAmgCsAclmWNktRhWXaEjuteAEBy\nqfqInikECHm7gUkvDex6xGjU0v6DoRQgEARBEARBmBuz9CCwLJvCsixj5J+9PV2LYZgnAPwLQAOA\nuSzL5pljjYSBxMwSjkuPAu2NA7eW66nMAtobuGOZAhgyfmDXQxAEQRAEYYNYVZMywzBLAXwCoBXA\nLSzLnhngJdkfIaMAZ2/uWKMCCvcN7HrEiNcSmgY4uQ/cWgiCIAiCIGwUqwkQGIa5GcD3AFQAFrIs\ne2iAl2SfyOTaZmUt1iR3Km5Qjpo8cOsgCIIgCIKwYawiQGAYZgKAteAkdJawLLtjgJdk30SLyoxy\nrUTuVNUBFB8RxtSgTBAEQRAEYRGsReZ0CwBnAIUAbmMY5rYe5hxkWfbL/l2WnSI2TGssA65mAwHx\nA7ceACg7AajauGOFMxA+dmDXQxAEQRAEYaNYS4Dgpf1vlPaPLihA6A/cAoDgZK4pGADydg58gFAg\n6j+IGAconAZuLQRBEARBEDaMVZQYGah69MBAr9OuELsqZ28duHV0I25QJnlTgiAIgiAIi2EVAQJh\nhcTdIhyXHAFaagduLR1NQLnISJv6DwiCIAiCICwGBQhEz4SMAtyCuGNWA+RsG7i1FB3iJFcBQOnJ\nlT8RBEEQBEEQFoECBKJnZDIg/mZhnP3bwK0lb6dwHDWFk2IlCIIgCIIgLAIFCIRuxGVGebuBztb+\nXwPLArmiAEHs9EwQBEEQBEGYHQoQCN1ETQIctW7FqjagYG//r6E2D6gvFsbi5mmCIAiCIAjC7FCA\nQOhG4QTEiNWMfu3/NeSKPPMCEwGPkP5fA0EQBEEQhB1BAQKhH3GZUfY2QKPu3/uLy4soe0AQBEEQ\nBGFxKEAg9BMzC5Bp/fRaa4DS4/13784WoPiQdC0EQRAEQRCERaEAgdCPsxcQOVEYX97Sf/cuPACo\nO7ljJw8gPL3/7k0QBEEQBGGnUIBA9E78POH44kZAo+mf+4rlTYdOAeQO/XNfgiAIgiAIO4YCBKJ3\nht8KMNoflYZSoOyE5e/JslzPQzfRVF5EEARBEATRH1CAQPSOe6C0zOj8/2/vzoM0qes7jr+/sOws\nu7DIApvgIrAsckk4djkWzHJKChQMQUzkKEBMREsj4QoxCWgRK6mKQLAqEjzARQ1EJMqpgAShOBJQ\nFxCBZWEIt8jCyrUHrOw3f3RPP8NkZpnj6ad3Zt6vqqnuX3c//XyreuaZ/jzd/fv9Z/3v+dy98Ooz\nZSNg20Pqf09JkiQZEDRIO36kNf/QVfX3ZrSwV5eq79kT1pte7/tJkiQJMCBosLb/cKs3o9d/8/be\nherQ+2Ho7Q8deDtJkiS1lQFBgzN5Gmy1f6td521GLz4Gixe22tsZECRJkjrFgKDB2/GI1vxD18Bb\nK+t5n4XXtuZ/b0eYNrOe95EkSdL/Y0DQ4G33IVi7q5hfvgQevame9+l9dcKrB5IkSR1lQNDgTdoA\ntvtgq33vd9v/Hi8shOcfaLX/4Mj2v4ckSZIGZEDQ0Ox6bGt+0Y3w2m/au/8HrmjNb7oLbPze9u5f\nkiRJq2VA0NBstT9MnVHM51vwy++1b9+Z8MD3W+2d/rR9+5YkSdKgGBA0NGutDbsc3Wrf+53ixL4d\nnr4bXn6qbAS874jVbi5JkqT2MyBo6HY5pjX/4iJ4/Nb27HfBt1vzM/eBqZu2Z7+SJEkaNAOChm7a\nTNj6oFb77otGvs9lS97ee9Hs40a+T0mSJA2ZAUHDM/dTrflFN8JL3SPb332Xwe9WFPOTN4btDxvZ\n/iRJkjQsBgQNz6wDYeNtykbC3V8b/r5WrYKfX9xqzz4OJnSNqDxJkiQNjwFBwxMBe57Uai/49vC7\nPH3sZljyeM+OYc4JI61OkiRJw2RA0PDtfDRMmV7M/2453HH+0PeRCbef12pvczBsuEV76pMkSdKQ\nGRA0fBMnwx+e0mr//BJ45dmh7ePJO+Hp/2m1e+9PkiRJHWdA0MjsdiKsX3ZH+tabcOs/Df61q1bB\nT85utbecB5vv2d76JEmSNCQGBI3MOpNg3mmt9r3fgafvGdxrf3UlPPuLVnu/z7e3NkmSJA2ZAUEj\nN+cEmL5Dq33N52Dl8tW/ZumLcOPfttrbHwZbvr+W8iRJkjR4BgSN3NrrwKH/0movfhh+fObA269a\nBdeeDEsXF+0Jk+Cgc+qtUZIkSYNiQFB7bD4X9vpsq73g0rf3TtQjE245BxZe11r2gS/CtK3qrlCS\nJEmDYEBQ+xz4BZgxp9X+r3Pg+tNgxatFe8UrxZWDO3pdbZh1AOxxEpIkSVozTGi6AI0hEybCUf8B\nlxwMS7qLZT/7Jtx3GWw0C17qhpXLWttP3wE+Oh/WMqdKkiStKTwzU3utNx2OvwY23bm1bOUyeP6B\nt4eDzXaH466GSRt0vkZJkiQNyICg9ttgMzjxJph3OnT1CQBdU4vuTI+/rggTkiRJWqN4i5Hqsc4k\nOPAsmHcqPLsAXn0ONpgB794VJk5pujpJkiQNwICgek2cAjPnNV2FJEmSBslbjCRJkiRVDAiSJEmS\nKgYESZIkSRUDgiRJkqSKAUGSJElSxYAgSZIkqWJAkCRJklQxIEiSJEmqGBAkSZIkVQwIkiRJkioG\nBEmSJEkVA4IkSZKkigFBkiRJUsWAIEmSJKliQJAkSZJUMSBIkiRJqkRmNl1Dx0TEq11dXevPmjWr\n6VIkSZKktunu7uaNN954LTOnjnRf4y0gPA9MBp5uqISeZNLd0PurOR778ctjPz553Mcvj/341fSx\nfw+wLDN/f6Q7GlcBoWkR8SBAZr6v6VrUWR778ctjPz553Mcvj/34NZaOvc8gSJIkSaoYECRJkiRV\nDAiSJEmSKgYESZIkSRUDgiRJkqSKvRhJkiRJqngFQZIkSVLFgCBJkiSpYkCQJEmSVDEgSJIkSaoY\nECRJkiRVDAiSJEmSKgYESZIkSRUDQgdExLoRcU5ELIqIFRHxXERcEhEzmq5N9YiIyRFxeERcHBGP\nlMd9aUTcHxFnR8R6TdeozoiIjSLihYjIiHis6XpUv4jYJCLOLf/2l0fEkohYEBFfbro21Scido+I\nK8r/8Ssj4uWIuD0iPh4R0XR9Gr6ImBMRfxMRP4iIZ8rP83ccSCwiToiIeyLi9fJz4EcRsXcnah4p\nB0qrWURMAn4KzAV+DdwObAnsASwG5mbm440VqFpExJ8D3yibDwO/AqYCewPrAwuBfTPzhWYqVKdE\nxHzgOCCA7szcutmKVKeImAPcCGwEPEjrb38HYLPMnNBgeapJRHwE+B6wNrAAeAzYBJgHTAAuy8xj\nmqtQIxERVwF/3Hd5Zg4Y/CLiAuBkYDlwEzAJOJDif8GRmXlVPdW2hwGhZhHxJeDvgP8G/igzXy+X\nnwqcB9yWmfs1V6HqEBHHU4SBCzLz4V7LNwWuB3YFLs/MoxsqUR0QEQcCNwNfBz6JAWFMi4hNgIeA\nycBRmXlNn/V7ZOY9jRSn2kTEBOBZYDpwTGZe1mvd9sAdwDTggMz8aTNVaiQi4kxgCvCz8ucJoGug\ngBARHwB+ArwE7JWZj5bL9wJuBZYBMzPz5dqLHyYDQo0iYiLwArABMDsz7+2z/n5gJ2C3zPxFAyWq\nAeUHxF3AG8DUzHyz4ZJUg4hYF3iA4jgfDizCgDCmRcSFwKeBz2TmhU3Xo86IiB0p/tYfyczt+ln/\nFeBzwJmZ+c+drk/tFxErWH1A+BFwCHBKZl7QZ13P78PpmXle7cUOk88g1Ov9FOGgu284KF1ZTg/r\nXElaA9xfTrsobkPQ2PQFYCvgU8DKhmtRzcpAeCywFPhWw+Wos94Y5HYv1VqF1gjlZ8EBZfPKfjYZ\nFed+3gtZr53L6YIB1vcs36kDtWjNsVU5XQksabIQ1SMidgJOA76VmbdHxJbNVqQO2I3i+aI7MnN5\nRBwCHERx3/Ei4IrMfK7JAlWbx4FuYNuIOLqfW4yOBX4L/LCh+tRZ21J8Abg4M5/pZ/2oOPczINRr\n83La3y9I7+VbdKAWrTlOLqc3ZOZgv3nSKBERawHfBF4G/rrhctQ5O5TTFwZ4oPEfI+ITmXl5h+tS\nzTLzrfK5s+uAf4+I04BHKZ5JmEfxXMoJmekXQuPDas/9MnNpRLwMbBgR62fma50rbfC8xahePV1Z\nLhtg/dJyun4HatEaICI+CHyC4urBWQ2Xo3r8JbA7cEZmekvB+LFhOf0wcDDwGYoTxC2Bc4F1gUsj\nYpdGqlOtMvNOYF+KqwmzgT8D9gdWUTysam+F48c7nfvBKDj/MyBIHRIR2wHfpeji7IzMvP8dXqJR\nJiI2B75E0TvZ/IbLUWf1/D+dAJydmRdm5uLMfDIzzwC+D6wDnNFYhapNRBwF3AM8DexJcZK4DTCf\n4nbDWyKiq7ECpSEyINTr9XI6eYD1U8rpGnl5Se1TDop3A8W3jOdn5lcaLkn1+CowkeLBZI0vr/ea\n7+8h5Z5l+3agFnVQRLwXuBR4ETg0M+/JzKWZ+WhmnkRx69Fs4MQm61THvNO5H4yC8z+fQajXU+V0\nswHW9yx/sgO1qCERMY1ikJQtKE4STm+2ItXoUIpnDy7qM3DqpHI6IyJuLec/lpnPd7A21avnc3xZ\nZi7uZ/0T5XR6Z8pRB32M4urQDT1jHfVxBcVnwz7Av3WyMDVited+ETEFeBfw2zX1+QMwINSt5xaS\n2QOs71n+yw7UogZExHrAjykeYPwB8Bfp4CNj3bsY+FviSb3WTRpgG41OPV1ZrxsRXf10QDCtnPZ3\nAqnRredE8JUB1vcs33CA9RpbHqHo+naTiJiRmc/2WT8qzv28xahed1J8MMwa4MG0I8vptZ0rSZ1S\n3m96NbAHcCPFyKpvNVuV6pSZ0d8PMLPcpLvX8icaLFVtlplPUXwpFPQfEHuW9Tcmjka3niuBuw2w\nfvdy+kT9pahpmbkcuKVsfrSfTUbFuZ8BoUblCLn/Wja/Wl5WAiAiTqXoA/c2R1EeeyJibeByisFS\nbgeOcMRkaczrGSX33IjYtGdh+QXRaWXzoo5XpbpdXU73iYhP914REXOBU8pmf4NmaWw6v5z+ffmM\nCgARsRdwEsWtqBc3UdhghXc71CsiJgG3UvRq8GuKk8UtyvZiYG5m2v3ZGBMRJwM9w6v/EHh1gE1P\nz8wXO1OVmlIOlPa/FFcQtm62GtUpIuYDx1OcANxF0b3p3hQDJ30jMz/ZXHWqS0R8mdbzZQ9SjH3w\nbmAvii9jv14+sKxRKCI+xNu7Jt+D4mrh3b2W/UNmXt/rNRdQjHu0jKKr24kUgycGcGRmXlV33SPh\nMwg1y8wVEbE/8HngaOBwitFz5wNnDTDKnka/3vea/slqtvsiRc8XksaGj1PcXnoSsB+QFCOnfi0z\nL22wLtUoM8+IiLsoejCbQzGa7mvAbRTB0AHyRrdNKL7Y7WvPPttUMvOvIuI+4LMUweBN4GaKIHFX\nXYW2i1cQJEmSJFV8BkGSJElSxYAgSZIkqWJAkCRJklQxIEiSJEmqGBAkSZIkVQwIkiRJkioGBEmS\nJEkVA4IkSZKkigFBkiRJUsWAIEmSJKliQJAkSZJUMSBIkiRJqhgQJEmSJFUMCJIkSZIqBgRJkiRJ\nFQOCJEmSpIoBQZIkSVLFgCBJkiSp8n9AYi0G8nOkkwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gdRjQIp3t5ax",
"colab_type": "code",
"outputId": "a8ddca21-87b1-4ee7-82ee-19abde22a98d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 592
}
},
"source": [
"def approx_cov(r,M,L):\n",
" f = zeros(N+1)\n",
" for m in range(-M,M):\n",
" s = m/(2*T)\n",
" f += S(s,L)/(2*T) * cos(2*pi*s*r)\n",
" return f\n",
"\n",
"plot(t, cov(t, L=0.5)[0], ':', linewidth=4)\n",
"for M in range(10, 25, 5):\n",
" plot(t, approx_cov(t, M, L=0.5), label=M)\n",
"legend()\n",
"xlim(0,4)"
],
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:3: MatplotlibDeprecationWarning: scipy.stats.norm.pdf\n",
" This is separate from the ipykernel package so we can avoid doing imports until\n"
],
"name": "stderr"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0, 4)"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
},
{
"output_type": "display_data",
"data": {
"image/png": 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PvMHurBPsOpLPy1/sCFaZIiIiIiLnReEiQK5ucTW3d7wdgM+6GjY29wWMe9bPIKakAICX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MMhhPX4zatPA583swvSeKnydggjiO1gxmPefg0ow2/ijsOo5G4hFBe7o/3cFM/3HN81ym0VglGJ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\nVwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "aRoHDlCc2KyB",
"colab_type": "text"
},
"source": [
"## Sparse Spectrum GP"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Uo-Te7LLt5a1",
"colab_type": "code",
"outputId": "d1c31f6a-8064-4805-b7e9-5e415a10e810",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 556
}
},
"source": [
"def approx_cov_sparse(r,M,L):\n",
" f = zeros(N+1)\n",
" for m in range(M):\n",
" s = randn() / (2*pi*L)\n",
" f += cos(2*pi*s*r) / M\n",
" return f\n",
"\n",
"plot(t, cov(t, L=0.5)[0], ':', linewidth=4)\n",
"for i in range(3):\n",
" plot(t, approx_cov_sparse(t, 25, L=0.5))\n",
"xlim(0,4)"
],
"execution_count": 17,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0, 4)"
]
},
"metadata": {
"tags": []
},
"execution_count": 17
},
{
"output_type": "display_data",
"data": {
"image/png": 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UMmGuMB44/QEnXrJnCYt3Ly5RzxUZSdPxT4HL81cgb8cO9j33HHQeCgP/5qu4aTYs+FeV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\nrkJggg==\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fmFgMzBxxz3z",
"colab_type": "code",
"outputId": "2668f8ff-1c34-4fb5-ea87-6a7d6c1f32f1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 556
}
},
"source": [
"plot(t, cov(t, L=0.5)[0], ':', linewidth=4)\n",
"for i in range(3):\n",
" plot(t, approx_cov_sparse(t, 250, L=0.5))\n",
"xlim(0,4)"
],
"execution_count": 18,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(0, 4)"
]
},
"metadata": {
"tags": []
},
"execution_count": 18
},
{
"output_type": "display_data",
"data": {
"image/png": 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N4/L6eHoBAACA6CBcNBPd26Tp8WtOVffbb3XGSg8kaeZna+s8vZi3bV60WgQAAECcI1w0\nM6nDT1fywAFO7Vrj0aTkTk79xJoneHoBAACAqCBcNDPGGLX+/k1OXbw7WTNXrlaCSZAk7Svdp1e2\ncmo3AAAAIo9w0QxljD5fid26BgprlLDGpSkpXZ35x9c8ripfVZS6AwAAQLwiXDRDxu1Wq5kznbpw\nR4pmrl/hPL04UHZAL295OVrtAQAAIE4RLpqprEmT5M7JkSRZn0tJX/o1Nb2nM//U2qfYewEAAICI\nIlw0U66kJOVcfrlT529J08wtq5XgCj29eD339Wi1BwAAgDhEuGjGcq64XMbjkSRVV7iVuqFEkzL7\nOfOzvpwln98XrfYAAAAQZwgXzVhCmzbKvPhipz66KU3X7Vwnlwn8Y91RtEPztiyMVnsAAACIM4SL\nZq7Vtdc41xX5iWq3cZ/GZPd3xh5Y8oj8fn80WgMAAECcIVw0c8n9+il1+HCnPro5Teet2+jUVe5d\nenrl29FoDQAAAHGGcNECJF52hXNdvDtZo4/sVHpJ6NTup758MhptAQAAIM4QLpo5r8+viZ9Lu9Pa\nBEeM8jen6YaCYmdNkTbpra3LotMgAAAA4kZYw4UxJsUYc68xZrMxpsIYs9cYM8sY0+mbf3e9e40x\nxrxhjDlkjPEaY44YY942xkwJZ8/Nncft0qShnfVqr7OdsYLcVN1Qtk6eso7O2EOfPhaN9gAAABBH\nwhYujDHJkt6XdI+kdEmvStol6XpJK40xPb/mt3/1Xv8l6W1J4yVtlvSypI2SRkuaa4z5bbj6bgmu\nG9Fd73c7VcWeFEmSv9qlgtxUTS8IvYZ2r3eFVh1YH60WAQAAEAfC+eTiF5LOkLRUUh9r7Qxr7XBJ\nd0lqK2lWY25ijGkr6feSvJLOtdaOsNZeZq0dIWmUpEpJP/s2YaWl65yTqlFDumlht9DG7vzNafpx\n2Uq5Kto5Y7/9+JFotAcAAIA4EZZwYYxJlHR7sLzNWltSM2etfUjSGkkjjTGnNOJ2wyUlSXrfWru4\n9oS19kNJb0kykk4NR+8txQ0jeui1nmfJJyNJ8pYmqPpAgkbnJztrNpV8rD0le6LVIgAAAFq4cD25\nGCEpS9I2a+3KY8zPCX5OaMS9Khv5M480cl1cOKVbjk7o003LOg5wxo5uSdMvKlYq0x14emHl17/X\n/ztaLQIAAKCFC1e4GBz8XNHAfM34oEbc61NJBZLOM8aMrD1hjDlH0jhJWyR99B36bLGMMbphRA+9\n3uNMZ6x0X5LSSip0e5uTnLG5W+aqqKooGi0CAACghQtXuOga/NzdwHzNeLdvupG1tlDSTEl+SR8Y\nYz42xrxgjPlY0iJJn0kaZ62takxjxph1x/olqVdjfn9zcuHJHdVn/Lnyd675x2GUvzVNkzYvUWZi\npiSprLpMczbPafgmAAAAwHcUrnCRHvwsa2C+NPiZ0ZibWWvnKvCmqCMKfOVqRvCzWIG3SLFx4BgS\nE1z64/Qh6njNVc5YYW6qkg/makbb05yx/2z4j7w+bzRaBAAAQAsWk4foGWPukvSupA8V+CpVevDz\nfUn3Sprb2HtZawcc65ekbU3QekzImjJZJiXwWlpflUtFeSm6fM9meVweSdLBsoNauGNhNFsEAABA\nCxSucFHzdqjUBubTgp/FDcw7jDGjJD0oaZWk6dbatdbaUmvtWknTguMXGWPGH1/LLZc7I0NZE0J7\n5/O3pqnt9iW6qOMIZ+yZdc/IWhuN9gAAANBChStc5AU/OzcwXzO+sxH3ujr4+Yq11l97wlrrU+ip\nxTnfqsM4k3PlFc51xdFElR/x6Noi5w3B2pS/Scv3L49GawAAAGihwhUuVgc/hzUwXzO+phH3qgki\nhQ3M14znNOJecSu5b1+lnBI6ViR/S5p6r3tDI9qf7ow9ve7pKHQGAACAlipc4WKJAv/R38sYM+QY\n89OCn/Mbca/9wc+GDsmr2Zm8o9HdxamcKy53rovyUlRd5tW1ynTGluxZoi35W6LRGgAAAFqgsISL\n4GthHw6WjxhjavZYyBhzpwKbsRdba7+oNX67MWajMeZ3X7ndvODnlcaYi2tPGGMmSbpCgdfUvhKO\n3luyzDFj5G7TRpJk/UaFuSk648s31Denj7Pm2fXPRqs9AAAAtDDhfFvU/ZKWSzpT0hZjzGxjzDJJ\nf5Z0SNINX1nfRlJfSR2/Mj5P0kuS3JLmG2M+M8a8aIz5LDjnknSPtXZTGHtvkUxiorKnT3Pq/K1p\nUvEBXZvRzxl7I/cNHS4/HI32AAAA0MKELVxYaysknSvpPgXOu5iswKF5T0saZq3NbeR9rALnWsxU\n4FW0vSVNkdRd0gJJ4621D4Sr75YuZ8YMyRX4x+wtTVDp/iRdsGmx2qW0C4z5vXpp00vRbBEAAAAt\nRFjPubDWlltrf2mt7W2tTbLWdrTWXm+trXdyt7X219ZaY6297hhz1lo7y1o70lqbY631WGvbWmsv\nstZyQMO34OnQQemjRjl1wbZUefav1Yz2Zzhjz657XlW+Rh14DgAAADQoJg/RQ3jlzLjUuS7ekyxv\nuUt9P/tC1p8gSSqpztdbO96KVnsAAABoIQgXcSDtrLPk7tAhUFijwu2pOrt4mZKK+jpr/rGKQ/UA\nAABwfAgXcWDlniL9p3XoDcEF21JlZHVJYaUztrNkk1YfWn2s3w4AAAA0CuEiDvTvmKkPT/yefDKS\nQhu7b/ctk7+0u7PuqTW8lhYAAADfHeEiDiR73Bp7zsn6tEN/Z6xgW6qyTJlOK8xyxhbveU/7S/cf\n6xYAAADANyJcxImrzuimhT2GO3XxnmRVl7t0d/lq+auyJUlWfj2/8YVotQgAAIBmjnARJ7q0SlXG\n2efoYEogSMgaFWxP1QBXntoX9HbWzd74kiqqK6LUJQAAAJozwkUcuWpED73V7XSnLtiWKmulH5Ts\nlssmSpJKq4u0YPuCaLUIAACAZoxwEUfOObGt1px8Tr2N3dNcX2h6z7HOun9v+DevpQUAAMC3RriI\nI26X0fjzBmtb76+8ltb6dEW5zxnbkr9Fnx/4PBotAgAAoBkjXMSZW0f10nk/ucmpi/ckq7rCpZ5r\n5up7HUIbvl9gYzcAAAC+JcJFnDHGKP3ss5VQ+8TuHSlS6SFdltLdWfd+3vs6WHYwOk0CAACgWSJc\nxCHjditrymSnLsgNbOweufkDdUzrKEmqttV6efPL0WoRAAAAzRDhIk5lX3KJc11V5FH5EY/cuz/X\n9A4jnPGXNr8kr98bjfYAAADQDBEu4lRily5KPeMMpy7ITZUkXXJwlzwujyTpUPkhvZ/3flT6AwAA\nQPNDuIhj2VNDTy+K81Lk9xq1XveaxnYe6YzP3jQ7Gq0BAACgGSJcxLGMMWPkysiQJPmrXSralSz5\nKnVZdaKz5rP9n2lr/tZotQgAAIBmhHARx1zJycqacLFT13w1avCXb6hfTl9n/IVNvJYWAAAA34xw\nEeeyLpnqXJcfTlJlUYJM4S5dljXAGZ+/bb5Kqkqi0R4AAACaEcJFnEse0F9J/fo5dc3Tiwt3fKEM\nT+ArU2XVZXo99/Wo9AcAAIDmg3AR54wxyp4aenpRuCNF1i+lbP9I/dxDnfHnNz4va200WgQAAEAz\nQbiAMi++SMYTeP2sr8Ktkr3JkqTBG/OcNbmFufr8wOdR6Q8AAADNA+EC8mVkav/g+mdezPR/KlvS\n0xl/fuPzEe8NAAAAzQfhAvK4XJrderBTl+xLkrfcpXRToTMKU53x9/Le18Gyg9FoEQAAAM0A4QJy\nuYwGTx6rAynZgQFrVLgjECrurlglvzcw7rc+zdk8J1ptAgAAIMYRLiBJuuTULnqv2+lOXZCbKmul\nvq696ljQ3Rmfs3mOvH5vFDoEAABArCNcQJLULiNZ5eddIL+MJMlbnKDyw4GTum8p2SPrd0uSDpUf\n0uJdi6PWJwAAAGIX4QKO8WOGaVXb3k5ds7F7il0hT/GJzviLm16MeG8AAACIfYQLOEb2aavl/UY4\ndWFeinxeI7ex+lXrTGd86b6l2lW0KxotAgAAIIYRLuBIcLvUbdJ4FXtSAgM+o+JdgTMvJu1ZpB6Z\n3Z21c7awsRsAAAB1ES5Qx+VnnSjP6LFOXbgjXZJkyg5renroq1Hzts6T18fGbgAAAIQQLlDHCdkp\n6nfd5U5ddtCjqpLAZu6JO1cp0RXY5H204qjey3svKj0CAAAgNhEuUE/yoEFK7Bk6mbtwR+BrUlm7\nv9AF7U9zxl/czMZuAAAAhBAuUI8xRllTJjt14a4cWRu4nl5U4ox/tv8zbS/cHun2AAAAEKMIFzim\nrIkTJVfgj4e30KeyQ4GvQw3e+I56Z/Zw1nFiNwAAAGoQLnBMnvbtlXbmmU5duCtHkmSqK3RpYkdn\n/NVtr6rSVxnx/gAAABB7CBdoUO2vRhXtTJLfGzi9++ItnyjFHXhFbWFlod7e8XZU+gMAAEBsIVyg\nQRnnny9XRoYkyVZVq2hPYGN3RkGexrce5Kzjq1EAAACQCBf4Gq7kZGVeeKFTF+7v7FxPP7zfuV5x\ncIW25m+NaG8AAACIPYQLfK2syZOc67IdJc6ZFwO2fayTskKvq31p80sR7w0AAACxhXCBr5UyZIgS\nu3d36sJDXSRJRtJ0f7ozPn/bfJVXl0e4OwAAAMQSwgW+VuDMiylOXZib4px5cfbaD2R9SZKkYm+x\nFm5fGI0WAQAAECMIF/hGWZMmSibwpijvoUIdPRR4YtHBlqpbcTtnHRu7AQAA4hvhAt/I17qt1nbo\n69Trcrs617cV73Ku1xxeo41HN0a0NwAAAMQOwgW+UbLHrbzTRjl1xu5S+asDTzIurM5TcnlbZ+6l\nTWzsBgAAiFeECzTK4MsmqTQhcHBecrVXK/J6OXPji6qd69dzX1eptzTi/QEAACD6CBdolFGDu+rT\n7sOc+sj20Jui7ipbJwU3dpdVl2nB9gUR7w8AAADRR7hAo3jcLrkvvNipOx86pD0lrSRJWarWSUXZ\nzhwbuwEAAOIT4QKNdt7U0dqd1kaS5JLVZ7l9nLm7Src71+uPrNe6I+si3h8AAACii3CBRjuxfYY2\nDjrbqbN2lshrEyRJw72HNTQ99BYpnl4AAADEH8IFvpXOl06VX4E3RXUoPSpv5nnO3LTi0EbuBbkL\n2NgNAAAQZwgX+FYmjhum9O+d4dSFu1s512N3rlJGQpokNnYDAADEI8IFvhW3yyj7kilOXfThF/K3\nHihJSrZWExNaO3OceQEAABBfCBf41jJGj5YrLfCEwl9aqmI7wpmbtnOtc73h6AY2dgMAAMQRwgW+\nNVdKijLGX+DUhSsPSslZkqTeZYUamtLRmePpBQAAQPwgXOA7yZ4S+mpU6bJP5e0+1amnHT3sXC/Y\nzsZuAACAeEG4wHeSMmyYPN2Cr561VoV72zlzYw/kKiMhRZJUXl2uN3LfiEaLAAAAiDDCBb4TY4yy\nJ0926sK3Fsv2Gi0puLHbpjpznHkBAAAQH8IWLowxKcaYe40xm40xFcaYvcaYWcaYTt/xft2NMX83\nxmw3xlQaYw4bY5YaY+4OV884PlkTJzrXVTt3qjxrjFNPywtt5N5wdIPWHWZjNwAAQEsXlnBhjEmW\n9L6keySlS3pV0i5J10taaYzp+S3vN17SOkk3SToiaa6kFZK6S7o5HD3j+Hk6dVLqGbXOvPhsr5TT\nXZLUu6pKQxNrvZZ2Mxu7AQAAWrpwPbn4haQzJC2V1MdaO8NaO1zSXZLaSprV2BsZY/opECZKJZ1l\nrT3VWnu5tXaspE6SLgtTzwiDrMmTnOuiN9+Uf9C1Tj390F7nesH2BSqpKolobwAAAIis4w4XxphE\nSbcHy9ustc5/QVprH5K0RtJIY8wpjbzlQ5KSJV1nrf2k9oS11m+t/fx4e0b4ZI4dK1dqYH+Fv6RE\nxQWdpYRkSdKY/INKtomSAhu7ObEbAACgZQvHk4sRkrIkbbPWrjzGfM1u3gnfdCNjTBdJ4yTlWmv5\nL9FmwJWaqowLQmdeHJi3UGtbBfZeJFurcwqrnbk5m+fIWhvxHgEAABAZ4QgXg4OfKxqYrxkf1Ih7\njVKgp0+MMQnGmEuNMX8zxjxsjLnFGJNznL2iCaROCOXGquXL9MDmgU59a8lu53rD0Q1af2R9RHsD\nAABA5IQjXAQPO9DuBuZrxrs14l79g58lkj6SNFvSHZJuk/SYpK3GmHO/Y59oIu4hw3QgrVXgWlad\n8w5phb+3JKmXt1pdypOctWwiShVGAAAgAElEQVTsBgAAaLnCES7Sg59lDczXHM+c0Yh71TyZuFFS\nP0lXSGolqa+kfwevX/k2r7c1xqw71i9JvRp7D3y9jJRE7Tn9PKcenfe5nvGGXkt7Y/EB55qN3QAA\nAC1XrB2iV9NPgqSbrbXPW2vzrbWbrbVXS/pMgf0dt0atQxxTv2tnONddSw5q69FOOmwzJUkXlhUr\n0ZcgiY3dAAAALVk4wkXN/4ZObWA+LfhZ/C3uVSLpWN+f+Wfwc2TjWpOstQOO9UvStsbeA99s2PAB\n2tzhRKcelbdSL/gC32BLtlbjS8qduZc2v8TGbgAAgBYoHOEiL/jZuYH5mvGdjbhXzZo8e+z/+twR\n/GzXuNYQKcYY+cde5NQjd6/SC5WjVG0Df8SuLz7kzG08upGN3QAAAC1QOMLF6uDnsAbma8bXNOJe\nNa+ybeitUK2Cn3xpPwadef00VbgD51pkeMvVff9+LfAPlxTY2D3E73HWsrEbAACg5QlHuFgiqVBS\nL2PMkGPMTwt+zm/EvT6RdERSB2NM32PM13wd6ljnaSDK2ndsrW0nnebUVxWsVbcL73LqS4/sc67Z\n2A0AANDyHHe4sNZWSXo4WD5ijKnZYyFjzJ0KnG+x2Fr7Ra3x240xG40xv/vKvaoVOKHbBO+VWev3\njJZ0nSQr6R/H2zeaRrcrQhu7u21bo/69BkudAoezjyktV6bY2A0AANBShettUfdLWi7pTElbjDGz\njTHLJP1Z0iFJN3xlfRsFXi/b8Rj3+pOkdyWdL2mzMWaeMeZjSQsleST9wlr7aZj6RpidOvl8eU44\nIVD4/Sqa/7p0RuDlXsnWamJRobOWjd0AAAAtS1jChbW2QtK5ku5T4LyLyQocmve0pGHW2txvcS+v\npAsl/VTSYUnjJJ0sabGkCdbaB8LRM5qGcbmUNXmSUxfOe0X2pIlSRiBHTqsVLjYe3ah1R9ZFvEcA\nAAA0jbCdc2GtLbfW/tJa29tam2St7Witvd5aW+/kbmvtr621xlp7XQP38lpr/2itHWitTbHWZllr\nz7fWvh6uftF0siaFwkXllq2q2LBZOu1GSYGN3cOqfM78nM1zIt4fAAAAmkasHaKHFiCxWzelnHKK\nUxfOmyedcr2UkCxJmlaQ78yxsRsAAKDlIFygSWRPmexcF73+uvyeDGnQpZKkMWXlyrRGEhu7AQAA\nWhLCBZpExgUXyCQHnlT4CgtV8sEiafgtktjYDQAA0FIRLtAk3OnpyhgzxqkL582T2g+QegSOKplW\nHPoqFBu7AQAAWgbCBZpM7a9GlXz4oaoPH5bO+IGk4MbuikpnnhO7AQAAmj/CBZpM6vDhSujQIVD4\nfCqc/7p04jgpp4ckaVpRsbP2ze1vsrEbAACgmSNcoMkYt7vOa2kLX3lF1hhn78WYsnJl+v2SAhu7\n38h9Iyp9AgAAIDwIF2hStQ/Uq9y8WZUbNsg76DJVJ6QFNnbX2nvBxm4AAIDmjXCBJpXUo4dShgxx\n6nf+Mkvfe+gzPVNxjiRpeq1wsSl/k748/GXEewQAAEB4EC7Q5OwFFznXbZcvUkFRmf7pu0DV1qWe\n3moNq6hw5uds4cRuAACA5opwgSbXcdLFqnJ7JElZVaU6bf9G7bZt9ab/dEnStKLQ04s3t7+p4qri\nY94HAAAAsY1wgSaXnJOtA4OGO/XovM8kSY9XXyxJGltWpkyfT1LwxO5cTuwGAABojggXiIhuV0x3\nrk8/sEFZlSVaa3tqmf8kJVlpYkmpM8/GbgAAgOaJcIGI6HPh+SpMy5YkJVi/Ru1eKUl6vDqwH4ON\n3QAAAM0f4QIRYdxuVYwa69Rjgl+N+sA/RFv9J9Tb2M2J3QAAAM0P4QIRM2jmFc51r8K96lG4Vz3a\nZGh3v5mSpOm1NnYv3LGQjd0AAADNDOECEdOqf18d7NTLqf+avUfv3TVSo6bfLqW11Rg2dgMAADRr\nhAtEVPcrL3WuUz58V6quljzJ0uk3s7EbAACgmSNcIKI6T50k4wmceeE7ckQlH30cmDhtppSQwsZu\nAACAZoxwgYhyZ2Up/fzznbrwlVcCF6mtpKFXsrEbAACgGSNcIOKyp0x2rosXLVJ1fn6gOONWSYaN\n3QAAAM0U4QIRlzZihNxt2wQKr1dFr78RuG7dSzrpYo0pK1NWrY3db+S+EaVOAQAA8G0QLhBxJiFB\nWRMnOnXByy+HNm6feQcbuwEAAJopwgWiInvqVOe6cuNGVaxfHyi6nC51Ga5ptTZ2b87frLWH10a6\nRQAAAHxLhAtERVLPnkoZOtSpC19+OTR51o/V01utU8pDG7vnbJ4TyfYAAADwHRAuEDXZ00JPLwrn\nvy5/zVuiThwntetf5+kFG7sBAABiH+ECUZMx7gKZ1FRJkr+4WMXvvBOYcLmks37Mxm4AAIBmhnCB\nqHGnpylz/AVOXTCn1lejBlwid0ZXNnYDAAA0I4QLRFX21GnOddny5SrO3aHXVu/V1U9/oV8fOZ+N\n3QAAAM0I4QJRlTJ0iBJ79nTq/737L7rj+ZX6aMthveQbqYyqtDobuzmxGwAAIHYRLhBVxhiVnT/e\nqc/OXS6X9UuSKpWop6rH193Yvf1NNnYDAADEKMIFoq7fNTPkM4E/im3LCzXs4CZn7t++0RpeKmdj\nd4WvUq/nvh6VPgEAAPD1CBeIOk/btjo66HSnHrfzU+e6RKmaXT2m7sbuTS+ysRsAACAGES4QE3pc\nc7lzPXzfemVVhr4K9c/qCzSxKLTvYkvBVq05vCai/QEAAOCbES4QEzqPO08l6dmSJI/16dxdK5y5\nI8rS0oqRdU/s3jg74j0CAADg6xEuEBNMQoLMuIucetzO5VLwq0+JCS7l9btR00pC4WLh9jdVVFUU\n8T4BAADQMMIFYsaAmVc6192LD+h8c1i/vLi/Pv35+frVVWM1pu8lyq7Z2G2r9ermudFqFQAAAMdA\nuEDMSOnZQ4UnDnTq+zy5uuGsHspOTZQkJZ39E00pKXfmZ6+dJX/wtbUAAACIPsIFYkq/Wk8vihcs\nkL+sLDSZ3UWXdh0jE/y61M6qfC3b/XGkWwQAAEADCBeIKZljx8qVliZJ8peWqujNhXXmO4/8fzq7\nvNKpX/j8LxHtDwAAAA0jXCCmuFJTlTnhYqcuePHFugtyuumytqc65eLCrdpXtCtS7QEAAOBrEC4Q\nc3IuvdS5Ll+9WhWbNtWZH3HuferirZYk+Y304pL7I9ofAAAAjo1wgZiT3L+/kk8+2akLZtd9euFq\n3Vsz0ns79dz9n6iqqkwAAACILsIFYlL2pdOd68LXXqu7sVvS5JH3Kckf2Nh91CW9veSBiPYHAACA\n+ggXiElZF14Y2thdUlJvY3dWxyEan9jOqV/IfVXyeSPaIwAAAOoiXCAmudLS6mzszn9xdr01l53x\nU+d6dYK0YelDEekNAAAAx0a4QMzKmTHDua5YvUYVGzfWmR/Qa5wGuTOc+oV1z0reioj1BwAAgLoI\nF4hZySedVHdj91dfSytpcv+ZzvWCRKnws39EpDcAAADUR7hATMuZEXotbeFr852N3Zv2F+sX89bq\n16+2U6rPLUmqcLn06orHpKrSqPQKAAAQ7wgXiGmZ48fX2dj94ePP69K/L9W4v36ofy/LU2mlS5X5\npznrZydL/uWPR6tdAACAuEa4QExzpaUp7eJaG7tnv6hPdxyts6aw4ByZwFtplefxaOnnD0sVhZFs\nEwAAACJcoBloVevE7n75eepRuLfOvPW2ki050alfSJK07LFItQcAAIAgwgViXuqA/iru0cepx+9Y\nVm9NWf7ZzvXi1BTtWv6oVHa03joAAAA0HcIFmoXOV1/hXJ+3a4WSqivrzPtKe8tUtZYkWWP0XIqR\nPubcCwAAgEgiXKBZ6DB5gqqSUiRJadUVGrln9VdWuFR+9CynmpeRrtJPn5AKdkWwSwAAgPhGuECz\n4EpNVcK48U49fsfSemv6Z5yrFHfgzVIlLpdeTUmQPvhtxHoEAACId4QLNBu9brjaue6Xv0u9CnYr\n2ePSjFO76PUfnqVXbz1f0/tOddY8l5Uh/+oXpP1ro9EuAABA3CFcoNlI7tdPZb1Pcup7vOu0/Gej\n9YdpgzSwU5Yk6bJ+l8nISJJ2ejz6OCVJeudXUekXAAAg3oQtXBhjUowx9xpjNhtjKowxe40xs4wx\nnY7zvicaY8qNMdYY8264+kXz1LXW04sOn3+odG9ZnfkuGV00qssop34uM0Pa9p607f1ItQgAABC3\nwhIujDHJkt6XdI+kdEmvStol6XpJK40xPY/j9o9LSjruJtEitL7oQrlzciRJtrJSBXNfqbfmqpOu\ncq6XpKYo15MQeHrh90esTwAAgHgUricXv5B0hqSlkvpYa2dYa4dLuktSW0mzvstNjTEzJY2S9ESY\n+kQz50pKUva0aU6d//zzsl8JDad1OE0n5oQO1XsuM0Pav0b6ck7E+gQAAIhHxx0ujDGJkm4PlrdZ\na0tq5qy1D0laI2mkMeaUb3nf9pL+JOkdSc8fb59oOXIumyGZwL4Kb16eSpcsqTNvjNGV/a506tfS\n01ToMtJ790neioj2CgAAEE/C8eRihKQsSdustSuPMV/zv4snfMv7/k1SiqRbj6M3tECeTp2UPmqU\nU+c/Vz97XtTzImUnZUuSyl0uzUtPlwrzpM94CAYAANBUwhEuBgc/VzQwXzM+qLE3NMZcKGmGpAes\ntVuPoze0UDlXhE7sLlm0SFW799SZT05I1rQ+oa9PPZ+ZIZ8kLf6TVHIoQl0CAADEl3CEi67Bz90N\nzNeMd2vMzYwxaZIelbRJ0h+OrzW0VGkjzpSnW/CPnrUqmP1CvTUz+s6Q27glSXs8CVqUmiJVFkof\n3B/JVgEAAOJGOMJFevCzrIH50uBnRiPvd78CQeQWa23V8TQmScaYdcf6JanX8d4b0WNcLuVcfrlT\nF7w0R/7KyjprOqR10Ohuo53635nBP4JfPCPtWxORPgEAAOJJTB2iZ4w5VdIdkp611i6KcjuIcdlT\npsgkJ0uSfAUFKnrzzXprar+W9vOUZG1M9Eiy0sKfSdZGqlUAAIC4EI5wUfN2qNQG5tOCn8VfdxNj\nTIICr5wtkPSTMPQlSbLWDjjWL0nbwvUzEB3urCxlTbjYqfOfr7+xe3DbwerfaoBTO08vdn4sbXit\nyXsEAACIJ+EIF3nBz84NzNeM7/yG+3SWNERSlaSXjDGLan5J+mtwzSm1xoA6X42qWL1G5WvXOnVh\nmVePf5ir3NyhztiCjAwddgf/2L/9C15NCwAAEEYJYbjH6uDnsAbma8Yb+yX3DsFfx5ItaWQj74M4\nkNy/v1KGDlX5ysBbkI8++y+V332P/rlkh+au2KNyr09SP+VkZavaFMgrq+eysnTH0XypIE9a+rB0\nTtgelAEAAMS1cDy5WCKpUFIvY8yQY8zXvA90/tfdxFq7w1prjvVL0rnBZe/VGgMkSa2uudq5zn9j\ngS797Xz9Z3leMFhIUoJKD53hrHkxu5XKgofw6aOHpKJ9EewWAACg5TrucBF8o9PDwfKR4KtkJUnG\nmDsVON9isbX2i1rjtxtjNhpjfne8Px/IGDNGla3aSpLcfp8u2r603pqq/NPlVpIkqdB69VqrdoEJ\nb6n07q8i1isAAEBLFq63Rd0vabmkMyVtMcbMNsYsk/RnSYck3fCV9W0k9ZXUMUw/H3HMJCSozVVX\nOvWFO5bK4/PWXeRPVWX+qU75rzbtVfNcQ2tmSzs+bvpGAQAAWriwhAtrbYUCX126T4HzLiYrcFbF\n05KGWWtzw/FzgIZ0vGKGqj2JkqTsqlKN2r2y3pqKIyNkgn/k86oKtKjTSaHJ1++Uqo/7WBUAAIC4\nFrZzLqy15dbaX1pre1trk6y1Ha2111tr653cba39dXDvxHWNvPei4PrR37wa8cidnS3P+IucevK2\nj+qdY2G9rWTKTnbqZ9qeICm49+LwJmnZI5FoFQAAoMWKqUP0gOPR46bQt+96Fu3TyYfrH2WSWRXK\npysLt2jN4EtCk4v/GHiDFAAAAL4TwgVajKTevVU55DSnnrztI+f6jJ6t9NS1p2rxD6/V0Hahcy+e\nyUyXUtsECm+Z9Ob/RKxfAACAloZwgRal582hpxdn7F+vK7u6Nf/2s/TCTd/T+Se1l8tldG3/a501\n7+5ZrN0ja51zsekNadObkWwZAACgxSBcoEXJGHmOKjsEDoV3yeqOwlU6uXNWnTWjuoxSl4wukiS/\n9es/plDqemZowZv/LVWVRaxnAACAloJwgRbFuFzq+v3rnLpgzhz5SkrqrHG73Lqm/zVO/fKWuSoY\n+xvJFTywviBP+ujBSLQLAADQohAu0OJkT54sV0aGJMlfWqqCOXPqrZnUe5JyknIkSeXV5Xr+yBfS\n924LLVjyN2n/lxHpFwAAoKUgXKDFcaWlKfvS6U599JlnZb11D9VLSUjRFSdd4dTPbXhOZSPukLK6\nBgb81dJrt0u+6oj0DAAA0BIQLtAitbrmGsnjkSRV79unooUL6625vN/lSklIkSQVVBbolZ1vSRP+\nElqwd6W07NGI9AsAANASEC7QInnat1fWRaFD9Y48NUv2K4fqZSVlaVqfaU79zLpn5O05UhoceqKh\nD34rHal/XgYAAADqI1ygxWp1w/XOdeXGjSr95JN6a67pf40Sghu595Xu08LtC6Vxv5XS2gUWVFdI\nr90h+f0R6RkAAKA5I1ygxUru00dp55zt1EefmlVvTYe0DrqoR+gJx6wvZ8mfki1dVOttUTs/llY8\n3ZStAgAAtAiEC7RorW+Y6VyXfvKJKjZsqLfmhoGhg/e2FmzVR7s/kvpPkk6aEFr09i+lwj1N2isA\nAEBzR7hAi5Y6/HQl9+/v1Edm/bPemp7ZPXVul/Oc+qkvnwpcXPiglBw8gK+qWHr9x9JX9m0AAAAg\nhHCBFs0Yo1YzQ08mihYskHfvXqeuqvbrpc93adXaIc7YyoMrteLACimjgzTugdDNtrwlrfxXRPoG\nAABojggXaPEyx42Tp1OnQOHz6egzz6qsqlqzPt6uUX/6QHfPWaO8fe2U6u/j/B7n6cWQK6Ve54du\ntvBn0tHtEeweAACg+SBcoMUzCQlqde21Tn3whRc19r43dO/r67W3sMIZP7x7hHP94e4PteHIBskY\nadLDUnJ2YKKqRJr3A8nvi1j/AAAAzQXhAnEhe+ol8qdnSJISKst11peL6q3xlfZRqro69eNrHg9c\nZJ4gXfTn0MK8pdIn/9eU7QIAADRLhAvEBVdamtJmXObUk7d9qKTqyq+sMjqy+xynejfvXW3J3xIo\nTp4mDZwaWvrBb6X9XzZhxwAAAM0P4QJxo/ON18ubmCRJyqoq0/gdy+utqS7ur3TT2amfWPNEaPLC\nB6WMjoFrX5U09yapXkABAACIX4QLxI2EnBylTJ3u1NO2LpLH5/3KKpeO7gk9vVi4Y6G2FwY3cKe2\nkiY9Elp6cF3gCQYAAAAkES4QZ7r/4PuqdnskSa0rijQm77N6a1Krh6l9chdJkpXVk2ufDE32Pl86\n7cZQveR/pdzFTdozAABAc0G4QFzxtGunhAkTnfrSzR/IHXzzU6fsFP16Qn998tPR+tGpP3DWvJH7\nhnYV7wrdZMy9UuvewcJKc78vlRyKRPsAAAAxjXCBuNP7hz+Qz+WWJLUvz9eMovV6cPpgLbp7lK4b\n0UMpiW6N7zFeXTICTy981qen1j4VukFimjT1KcmdGKhLDkjzbpH8/kj/pQAAAMQUwgXijqdTJ9nz\nxzn1zJ0fauqQjvK4Q/86JLgSdOPJoa8/vbr1Ve0tCZ3srROGSGPuC9Vb35WWPtykfQMAAMQ6wgXi\nUp87bw8ckCepavt2Fb/9dr01E3pOUMe0wNuhqm21Zn05q+6C4TdLfS8M1e/9Rtr9RZP1DAAAEOsI\nF4hLST16KHP8BU59+O//kLW2zhqP26OZA2c69dwtc7W/dH9ogTGBt0dldgrU/mppzvVSRWGT9g4A\nABCrCBeIW61vvtm5rty0SSUffFBvzZQTp6hdajtJktfv1T/W/KPugtRW0tQnJRP8V6lgpzT/R9JX\nggoAAEA8IFwgbiX37av0885z6kMPP1zv6UWiO1E3DwqFkHlb5tV9c5QkdTtTGvWzUL3uFenTx5uk\nZwAAgFhGuEBca3Prrc515foNKn7nnXprpvSeok7pga8+Vdtq/WP1P+qt0dl3ST1Ch+/prZ9LecvC\n3i8AAEAsI1wgrqUMHKD00ec79eH/+z9Zn6/OGo/bU+fpxfzc+dpRuKPujVzuwOtpM04I1P5q6cVr\npeIDTdU6AABAzCFcIO61/eEdzpujKrdsVdGbC+utmdBrgrpmdJUk+a1fj65+tP6N0ttJlz4juQIn\ngKtkv/TSdZLP21StAwAAxBTCBeJect8+dd8c9fDDstXVddYkuBL0gyGhU7sXbl+oLflb6t+sy+nS\nBb8L1XmfSO/8Muw9AwAAxCLCBSCpze23S67Avw5VO3aocP7r9daM63qBOqf3kCRZWT22+rFj3+y0\nG6XBl4fqZY9Ka+eEvWcAAIBYQ7gAJCX17KmsCRc79eFHH5X1Br7OZK3V+xsPaOIjS7Vr21nOmnd2\nvqMNRzbUv5kx0sV/kTqcHBp77YfS/rVN1j8AAEAsIFwAQW1uvVVyuyVJ3l27VPDKK1qee0TT/75U\nNzz9uTbsK1LJ0ZOU7e7m/J5HVj1y7Jt5UqRL/yUlZwdqb5n03GVSycGm/ssAAACIGsIFEJTYrZuy\nL5ni1Jv+9Ddd9djH+nxnfq1VLh3aNcqpFu9erFUHVx37hq16SNOeCh2wV7RbeuFKyVsR/uYBAABi\nAOECqKXNLbfI706QJGUVH9X4HfXPqqgo7KdsVy+nfuiLh+odvufoPVoa90Co3v2pNP8OTvAGAAAt\nEuECqMXTqZPKx4T2Xly+6R2l1nvSYLR/R+hsjJUHV2rRrkUN33T4LdKwa0P1mtnSx38JT8MAAAAx\nhHABfMXgn/1YVQmJkqTsqlJN3bKo3hpvaU+1MoOc+m8r/qZqf3W9dZICG7wvfFDqFtoMrvfulTbU\nfyMVAABAc0a4AL7C076d/Jde6dSXbFusVuWF9dbt2naujAKH720r3KbXtr3W8E0TEqUZ/5JyegQH\nrDT3Jmnf6nC2DgAAEFWEC+AYBt15m0pTMyVJyT6vrtr4dp359KQE3XH2Obqg+0XO2COrHlF5dXnD\nN01tJV0xW0oK3FfeUuk/06X8nWHvHwAAIBoIF8AxuNPTlHzjzU49duen6lq0X0kJLt10Tk99+N/n\n6r9G99GPT7lDia7AV6gOlh3Ucxue+/obt+0rTf+nZAKvvFXJAek/06Syo031lwIAABAxhAugAQO+\nf7XyW3WQJLlldc+e97X47nP18wtPUqu0QKDomN5Rl/cLncb91NqnVFBR8PU37j1amvC3UH14s/T8\n5byiFgAANHuEC6ABxuNRmzvvdOrOm1YoY0P9PRI3nnyjMjwZkqRib7GeXPvkN9982NXSqJ+F6l3L\npLnfl/y+4+4bAAAgWggXwNc4cerFShk2zKkPPvigrN9fZ012crZmnjzTqZ/b+Jz2lOz55puP/Kk0\n9OpQveE16a2fcwYGAABotggXwNcwxqjd3T9x6oovv1TRgjfrrbvypCvVLrWdJMnr9+qhzx9qzM2l\ni/8i9R4TGlv+d87AAAAAzRbhAvgGqUOHKmPsWKc++Oc/y19e961QyQnJ+tGwHzn12zvf1uf7P//m\nm7s90vSnpY5DQmPv/Ub6rBFfrQIAAIgxhAugEdrd+WPJ45EkVe/bpyNPPFFvzcU9L9bA1gOd+o+f\n/VG+xuyhSEqXrnxJatUrNPbGT6Q1Lx533wAAAJFEuAAaIbF7d7W+7lqnPvLkU6ratavOGpdx6aen\n/9SpNxzd8PUH69WW3k66Zp6U2Sk4YKVXbpE21f8KFgAAQKwiXACN1PrmW5TQtu3/Z+++w+Sq6seP\nv+/0sr3XtE3vpCekEQgkdJEi+EUUK1jQIAoqiAoKCiL8QFEREFAEpQlIJz2k955syvbed/rc8/vj\nbmZ3k+xm+6Z8Xs9znzvn3DPnnoXs7HzuaQCoQIDShx8+oczElIksHrw4kn588+M0BBo6doO4AXDz\nm+BKMtIqDK/eAodXdLvtQgghhBB9QYILITrIHOUm5Ud3RdINH39Cw6rVJ5RbMnkJDrMDgEpfZceW\npj0meTjc/HrzLt5hv7EHRkEH5m8IIYQQQvQzCS6E6ISYy1svTVv64IOoQKBVmTR3GjePbh5C9cLu\nF8ivbz2Eql3pE+CmV8HiNNKBBnjxc1C4qVttF0IIIYTobRJcCNEJmqaR9rOfGsvIAoHDh6l66R+t\nyizfX84bnw4j2pIIdGJp2pYGzoQvvAQmYxI5/jp44XNQuLnbP4MQQgghRG+R4EKITnKMHk3cDddH\n0hVPPUWwrIz8Kg/feGEjtzy7nsMVIRpLLomU+TjvY9YVr+vcjYZeBDe82CLAqIUXr4airT3xYwgh\nhBBC9DgJLoToguQ77sAUGwuA3tjIijt/zkW/X86Hu0sjZWrLxxJvHhpJP7D2AYLhYOduNGIxXP93\nMFmMtK8WXrgKird1+2cQQgghhOhpElwI0QWW+HiS7/heJJ2xYRmjivcdV8pE0cFFaBhDqI7UHeHv\nu//e+ZuNvMzYaC8SYNQ0BRjbu9Z4IYQQQoheIsGFEF3kvOZajiRmR9Lf2foatuN6JkK+LGKC8yLp\nP2/7M4UNhZ2/2agr4NrnQDMbaW81/P1yKJBJ3kIIIYQ4fUhwIUQXOR02LHf9lHBTz0RmYwU37Pvk\nhHIFh+bhNscB4Av7eGj9Q1274egr4dpnmwOMY0Okjq7pWn1CCCGEED1MggshuuGiq+ayfvLFkfR1\nB5YyoK6kdSHdib/sskhyWf4yluYt7doNx1zdNAejaZJ3oB5evAZyP+1afUIIIYQQPajHggtN05ya\npv1S07T9mqb5NE0r0ublGesAACAASURBVDTtWU3TMjtRR5ymaTdpmvaypmmHNU0LaJpWr2naOk3T\n7tA0zdpT7RWiJ2iaxuwH7qHMGQ+AVYX53tb/oCk9UibKbuH2KdcxOWVKJO+h9Q/hDXm7dtNRV8CN\nL4PF2KiPkBf+eQPs/V+Xfw4hhBBCiJ7QI8GFpmkO4FPgXiAKeAvIB74CbNE0bUgHq/oh8A/gBqAa\neB1YD0wA/gB8qmmaqyfaLERPGT44lYM3fSuSHlN1hMsOfwbA587L5NM75/H1uTncO/NnWDRjUnZR\nYxF/3f7Xrt902EL44r/B6jbS4QC8ejPs+E/X6xRCCCGE6Kae6rn4GTAD+AwYrpS6QSk1HbgTSAae\n7WA9jcBvgUFKqUlKqS8opS4ExgF5wOymewlxWrn+uzeybuB5kfTXdv+Pf185gMdumEhKjNHDkBOX\nw5fGfClS5rldz3Go5lDXbzp4LnzpTbAbS+Kih+C1r8G6v3S9TiGEEEKIbuh2cKFpmg34TlPy20qp\nhmPXlFK/B7YD8zRNm3yqupRSv1FK/VgplXdc/gHg7qbkjd1tsxA9LdphJfGen1BnM3oS7CE/KX9+\nFKXrrcp9c/w3SXenAxDSQ/x8zc8J6+Gu3zh7GtzyX3AmNGUoeO8u+PQBUKrr9QohhBBCdEFP9Fyc\nD8QCuUqpLSe5fmycxhXdvM+xXcMyulmPEL3i8nljyL7/3kjas24dNa++2qqMy+riJ9N/EklvLd/K\nv/b9q3s3zpgIt34AMVnNeSt+B29/D8Kh7tUthBBCCNEJPRFcTGg6b27j+rH88d28z7F5GyXtlhKi\nn2iaRvrnriR64UWRvLLf/o5AQet9LeZnz2fxoMWR9OObH+/a3hctJQ+Hr34IyaOa8za/AP++BYJd\nnDguhBBCCNFJPRFcDGg6F7Rx/Vj+wG7e546m81vdrEeIXqNpGmn33Yc51pgHoXs8FN9zDyrceujT\n3dPvJt5urDDlDXm5f839qO4OY4rNhFvfg+wZzXl73zGWqvXWdK9uIYQQQogO6IngIqrp7GnjemPT\nObqrN9A07VvARUAN0KkdyDRN23WyA8jpanuEaI8lOZnUnzWvO+DZsIGq559vVSbBkcDd0+6OpNcW\nr+XNg292/+bOeLj5DRje3DNC3hp47lKoK+5+/UIIIYQQ7TjtN9HTNG0O8DiggFuVUkX93CQhTinm\n8suIXrwoki77w+P49uxpVWbx4MXMy5oXSf9uw+8o85R1/+Y2F9zwEpz3f815ZbvgmQuhZGf36xdC\nCCGEaENPBBfHVodqa/+JpoX4qe9sxZqmjcUYBmUD7lBKvdHZOpRSY052ALmdrUuIjtI0jfSf/xxL\naqqREQxSeNdd6D5fqzL3zriXKKvR+VcfrOeBtQ90f3gUgNkCVz4Js5c059UVwrOXwIGPu1+/EEII\nIcRJ9ERwcWzZ2Kw2rh/LP9qZSjVNGwx8CMQD9yul/l/XmidE/zDHxZHx0G8i6cDBXMoeebRVmVR3\nKndOuTOSXpq/lPcOv9czDdA0uOjncOkjoDX9qgca4J/XwYZneuYeQgghhBAt9ERwcWyJ2EltXD+W\nv72jFWqalg58BKQDjyulftH15gnRf9wzZ5Lw5S9H0tUvvUT9p5+2KnNR5pVkOcZF0g+se4CSxh5c\nFG3a1+HGV8DWND1K6fDunfDBT6E7e2wIIYQQQhynJ4KL1UAtkKNp2sSTXL+26fx2RyrTNC0e+ABj\nwvVzwA96oI1C9JvkH3wf+4gRkXTRPT8hWGgsPbvyQDmLHl/J3p2LsWlOAOoD9fxs1c/QlX7S+rpk\n+MVw6/sQ3WKbmM+ehFduhkBj2+8TQgghhOiEbgcXSqkA8GRT8ilN047NsUDTtCUY+1ssV0ptapH/\nHU3T9mqa9puWdWma5gLeBcYBrwJfVz0yAF2I/mOy28l87PdoLmNakl5bS94PlvDz17dy89/WU1Ln\nQwUT8JY07zO5rmQdL+1+qWcbkjYOvv4JpLXYcmbfu/D8ZbKSlBBCCCF6RE+tFvUAsA6YBRzQNO0V\nTdPWAo8C5cCtx5VPAkZgDHtq6UFgJhAGQsDfNE17/vijh9osRJ+xDxlC+s/vi6QD27djfvbPrcp4\nqs7DHWru/Ht88+McqD7Qsw2JyYCvvAfDLmnOK9oCf5kPBZvafJsQQgghREf0SHChlPIBFwC/wtjv\n4mqMTfOeByYppQ51sKr4prMZuAm4pY1DiDOO87IryJ9+YSR93cFlTC/e1aKERumhK3CZjF+DgB7g\n7pV3EwgHerYh9ii48WWY9s3mvIYSeG4xbHulZ+8lhBBCiHNKj+1zoZTyKqXuU0oNVUrZlVLpSqmv\nKKVO2LlbKXW/UkpTSn35uPwvN+W3e/RUm4XoS95AmAeGXMrR6NRI3l2bXiazoTySVmE31XlXR9L7\nq/fz5JYn6XEmM1z6W7jsUTBZjLywH974Bnx0n0z0FkIIIUSXnPab6Alxtoh1WXngxqk8OO1LeCx2\nANwhH/etew5nsHn/i0D9CKyNcyLp53c9z4aSDb3TqKlfg5vfBGdCc97qx+HlL4CvtnfuKYQQQoiz\nlgQXQvShucOTueDiaTw66QuRvAH1ZSzZ/Aq0WLtgUcZXGRQzGACF4scrfkylt7J3GjV4DnxjKaSM\nac478CE8cxFUyl6TQgghhOg4CS6E6GN3Lx5J8fgZ/Gt48/yL2cU7+ML+T4h2WPjTFyfx66sn89Dc\n32BpGrJU7i3n7pV3E+6t4Urxg+CrH8LIy5vzKvbDXy+A/R/0zj2FEEIIcdaR4EKIPuayWXj0+gn8\nc8wiNqY0739xy573eWusn8XjjEXUxiSO4YdTfhi5vrZ4LX/Z8Zfea5g9Cq5/Eeb9uDnPVwv/vB6W\n/gb0Htx3QwghhBBnJQkuhOgHkwbE84NLRvLwlC9S5E6M5Ad+dR/e7c2b2d808iYWDlwYSf9p659Y\nV7yu9xpmMsEFP4Hr/g5Wd3P+8ofg5RvAU9V79xZCCCHEGU+CCyH6ybfm5rBg6lBMDz2GKSYGAOX3\nk3/7twkWFQGgaRq/mPULsqKyjOtN8y8qvBW927gxVxsb7iXkNOcd+NDYD6N4e5tvE0IIIcS5TYIL\nIfqJyaTxxI3nccHCqWQ98ThYjPkV4YoK8r91G+H6egCibdE8Ov9RrCYrAJW+Sn604ke9N//imJRR\nxkTvlvMwao7C3xbCtn/17r2FEEIIcUaS4EKI04B7xgzS7/95JO3fv5+C27+N7vcDMDpxND+e2jwX\nYkPJBp7c2gv7XxzPEWvMw7jwPtCaPi5CPnjjm/DunRDq4Q3+hBBCCHFGk+BCiNNE3LXXkvj1r0XS\nng0bKPrhXaiw0UNx/YjrWTRoUeT6Mzue4f0j7/d+w0wmmHMn/N9rrffD2PAMPH8Z1BX1fhuEEEII\ncUaQ4EKI00jyD35A7FVXRdL1H31EyS9/hVIKTdO4f9b9DIkdErl+76p72VO5p28al7MAvrkc0ic2\n5xWsh6dnw8GP+6YNQgghhDitSXAhxGlEM5lIf+BXuOfNjeTVvPIK5Y/9AaUUbqubJxY8QbQtGgBf\n2Mf3ln6v9zbYO17cALj1Azjv5uY8TyW8dC188isIh/qmHUIIIYQ4LUlwIcRpRrNayXrsMZwTJkTy\nKv/yFyqe+iMAA2MG8sjcRzA1/fqWNJawZNkSguFg3zTQ6oCrnoQrngCLoylTwcpH4IWroK64b9oh\nhBBCiNOOBBdCnIZMLhdZT/8J+/DhkbyKJ5+k4uk/A1BQlE2g/NLItc1lm/n1+l+jlOq7Rk6+Bb72\nCSQObc47usoYJpX7ad+1QwghhBCnDQkuhDhNWeLjGfDcs9hymveaKP/DH3h5yYP86LXteCvOJ1w7\nOXLtP/v/w8t7X+7bRqaNhW8sg7HXNud5KuDFa+DTB6G3l8sVQgghxGlFggshTmOWxEQjwBg0KJI3\n8X8vcdPeD0GBp/hq8A2MXHt4w8N8mtfHvQb2aPj8M3D5H8Bsb8pUsOK3xjCp+pK+bY8QQggh+o0E\nF0Kc5qwpKfgefoKy6KRI3s17P+Rru94B3UJD/hfRwnEA6ErnRyt+xNayrX3bSE2DKV85cVfvIyvh\n6TlwaFnftkcIIYQQ/UKCCyFOc+9sL+Lz/znIklm3kReVEsn//MHlfGfba2jBKBqOfhlNGZOr/WE/\n3/30uxyuPdz3jU0bZwyTGnNNc15jGbxwNSz9tawmJYQQQpzlJLgQ4jQX1hW+oE6lM5Yfzbmd3NiM\nyLXLjqzlnvUvYvEk0ph3M5qyAFDjr+G2j2+jwlvR9w12xMC1z8Jlv289TGr5w8amezV5fd8mIYQQ\nQvQJCS6EOM1dNTGTuy4ZAUCtPYofn38buxOa51nMLt7Br1f/mTRvJt8a89NIfmFDIbd/fDuNwcY+\nbzOaBlO/Cl/7CBKaN/0jf62xmtSuN/u+TUIIIYTodVqfLl15GtE0bdfo0aNH79q1q7+bIsQpKaW4\n5/Ud/GtDPgCOkJ97NrzItNK9zYWyssl59hlerl/KIxsfiWTPSJ/Bkxc+iT3Si9DHfHXwvx/C9lda\n50+6BRY9BDZX/7RLCCHEOUcpRUiFCIQDBMIB/GF/82vdTzAcxB/24w83vw7qQcIqTEgPEVZhwnr4\nhHRIhU7IB9DQjLOmRV63TB/LM2kmLCYLVrMVq8mKzWTDZrYZr822VvkOiwO31R05XBYXTosTTTPq\nGjNmDLt3796tlBrTx/95jZ9NggsJLsSZIRjW+erfN7JifzkAJj3Md7a9zuKj6yJlzLGxZP7hMZ6y\nrOTF3S9G8udmzeUP8/+A1Wzt83ZHbPsXvHsnBBqa85JGwLV/M+ZqCCGEOKcFw0E8IQ/ekBdvyIsv\n5Gt19oQ8+MI+vMGm6+Hm68fed6zssQDhhCBCD6Arvb9/1B5n0ky4LC5cFhfrf7iehvwGCS76mgQX\n4kzU4A9x01/Xsr2gFoCRqVE8bdqB909PNRcym0n50V08PGgn7x15P5J94YAL+d2832E19WOAUZkL\nr30VirY055ntcPGvYNo3jOFUQgghzihKKbwhL7X+WmoDtdT6a6kP1NMYbKQh2NB8DhyXDjbSEGhO\nB/Vgf/8oZ4UDPzmAv8gvwUVfk+BCnKkqG/xc9+fPSHTbeOaWqcQ6rdS+8y7FP/0pyu+PlIu++kr+\ncIGHD0qWRfIWDVrEQ3Mewmwy90PLm4QCsPQBWP146/zhi+Cqp8CddPL3CSGE6BP+sJ9KbyWV3koq\nvBVU+iqp9lW3Ch4iR1P6TA4MNDTsZjs2szEUKfLaZLy2mCxYTBbMmhmzyYxFs2A2mTFr5hOuHcsz\nac3Tmo9911aoSFqhWuW3HK4V1IORczAcjKQDutEL4w158QQ9NIYaT9oLI8FFP5HgQpzJSut8xDis\nOG3NQYJ35y4KvvMdQiXNm9bZhubw3BeSeCu8KZJ3Zc6V/Or8X7X64OsXuZ/CG9+ChtLmvKg0uObP\nMGR+f7VKCCHOWsFwkFJPKSWNJRQ3FlPqKaXcU06lrymIaAoo6oP1/d1ULJoFp8WJ0+LEYXGc9Oyy\nuJrzzMbZaW1+3SpQMNuwm04SQJhtWDRLZL7CmUQphS/sozHYaAQbwUYag41cN/c6jhw4IsFFX5Pg\nQpyNQhUVFNzxfbybmoMJzengg2sG8MyAQ5G8a4Zdw30z7uvfHgyAhnJ463Y48GGLTA1mfx8u+Cn0\n5xwRIYQ4w3iCHvLr88mvz6e4sZjixmJKGksiR4W3IvL0vLe4LC5i7bFE26KJskYRZYvCbXUbr61N\nr1vkHZuUHGWNwmV14bIak5P7dQjvGU4mdPcTCS7E2UoFApQ99geqnnuuVf7e8xL57dwaGlzG05nF\ngxfz4OwH+/8DXClY9zR8dB+EA835GZPgmr9C0tD+a5sQQpxm6gP15NXlkVefFznn1+eTV5dHpa+y\nR+8VY4sh0ZlIkjOJeHs8cfY4Yu2xzYct9oR0vy4cIgAJLvqNBBfibFe/dCnFd99DuLY2ktcQbeX/\nLQqzZagxJGpe1jwemfcIDoujv5rZrHg7/OdWqDzQnGd1wSUPwuSvyGRvIcQ5pdZfS25NLrm1uRyq\nORR5XeYp63bdiY5E0t3ppLnTSHGlRAKIREfT2ZlIgiMBm9nWAz+J6GsSXPQTCS7EuSBYXEzRXT/C\ns3Fjq/yl4zVeWGCi0akxLW0aTyx4ArfV3U+tbCHQCO/fDZtfaJ0/fBFc+SREJfdPu4QQopeE9BCH\nag+xr2ofe6r2sL9qP7m1uVR4K7pUn81kIys6i4yojEgAceyc5koj1Z0qQcNZToKLfiLBhThXKF2n\n6u8vUP7YY6hA87CjWhe8sMDEyrEa45LH86eL/kSsPbYfW9rCnnfgv98Fb1VznjvZCDBGLOq/dgkh\nRDd4Q172Ve1jb9XeyHGg+gABPXDqN7fgtDgZED2AATEDyI7OZkB00zlmACmulP5fsEP0Kwku+okE\nF+Jc491/gPXfvIOU4sOt8ncM1Hh+oQn7sGE8deFTZERl9FMLj1NfAm99Gw5+3Dp/8leMoVK206Cn\nRQgh2qArnSO1R9hWvo0dFTvYUbGDA9UHIjs3d0S0NZqcuBxy4nIYEjsk8jrVlXpGrm4k+oYEF/1E\nggtxrnnw3d38bflBrjq0ii/teR9HuHlNcl2DjydqfLQwiYeu/CNjk8b2Y0tbUAo2PAMf/gxCvub8\nhBxjsnfW5P5rmxBCtFDrr2Vr2Va2V2xne/l2dlXs6vCSrmbNzJC4IYxKGMWI+BEMix9GTlwOyc5k\nCSJEp0lw0U8kuBDnkmdWHuKBd/dE0imeKm7f9gbTS/e0Kuexw7szbcz6/oNcNPLyvm5m28r3w+tf\ng+JtzXmaGeb9GObcCWZL/7VNCHFOKm0sZXPZZjaVbmJT6SYO1hzs0PucFicj4kcwImEEoxJGMTJx\nJEPjhmI323u5xeJcIcFFP5HgQpwr/rutiO+9vOXEC0oxvWQ3X9v5NlmNrScO1rqg+roLuPj7j2J2\nOvuopacQCsDyh2Dl76HlOu1ZU+Gav0DCkH5rmhDi7KaUoqC+gI2lGyPBREFDwSnfp6ExNH4o45PG\nMy5pHOOSx5ETm9P/ewyJs5oEF/1EggtxLlBKcfPf1rPqYNurjlj0EJcfWsPNBz7A5fe3uuaNcZD5\nla+TdNMXMceeJpO9j66B178JtXnNeVY3LH4Yzvs/WbJWCNEjKr2VrC9Zz9ritawtWktRY9Ep35Pg\nSGBC8gTGJ49nfNJ4xiSNOT1W4hPnFAku+okEF+Jc4QuG+cErW3lvZ0mbZdJjHbz5f2OpffEpPC//\nB3vwuM8Fp4P4a68j4ZZbsGVl9nKLO8BXB+/9GLb9s3X+yMvhisfBndQ/7RJCnLE8QQ+bSjextngt\n64rXsa963ynfk+HOYHLqZCanTmZS6iQGxQySORKi30lw0U8kuBDnkrCueOTDffxpWe4J1xxWE//5\n1izGZho9ExWFubz7i68ycXUptuMXNTGZiF64kLjrr8M9cyaaqZ+XO9z1Jrx9B/hqmvNcSUaAMeo0\nmjMihDjtKKXYU7WHFQUrWFu8lm3l2wjpoXbfMzh2MFNSpzApdRKTUyaTHpXeR60VouMkuOgnElyI\nc9GbWwr50WvbCYT0SN5TN03isvGt/0AGwgEe/+SXeF95nUs2K2K8J9Zlzcgg9ppriLvmc1gz+nH5\n2roiePM2OLSsdf6EG2HRQ+CM65dmCSFOP76Qj/Ul61mWv4zlBctPudt1iiuFGekzmJE+g+np00lx\npfRRS4XoOgku+okEF+JctS2/hq+/sJGyej/fWzCUJRePaLPs27lv89CKXzB9q5cr1umk1ZykkKbh\nnjmT6MWLiL7oIizx8b3X+LboOmz4K3z0cwi1iISiM+CqJ2HohX3fJiHEaaHCW8Hy/OUsK1jGuuJ1\neEMneVrSJNoazdS0qczIMIKJwTGDZZiTOONIcNFPJLgQ57LSOh8vfnaUJQuHYzK1/4dzf/V+lixb\nQl7NESblKhZsU0w6qDCf7KPDbMY1bSoxl1xiBBpJfTz3oeIgvPktKNjQOn/KV2HhL8Ee1bftEUL0\nOaUU+6r3Gb0T+cvZWbmzzbIaGhOSJzAnaw4z0mcwOnE0FpMsbS3ObBJc9BMJLoTouPpAPfeuvpdP\n8j4BIK5BMW+H4srdLqLLGtp8n2P0aNyzZ+OefT6uiRPRbLbeb2w4BGuegKW/Br15o0DiB8HVf4KB\ns3q/DUKIPuUP+1lfvJ7lBctZXrCcksa2F7BwWVycn3k+87LmMSdrDgmOhD5sqRC9T4KLfiLBhRCd\no5Ti1X2v8sjGR/CFfccymV2RxO3VE3Gs3EKorO3xyyaXC9e0abimTMY5aRKOsWMx9WawUbIT3vgW\nlO5okanBzG/DgnvB6ui9ewshel2Ft4KVBStZlr+Mz4o/a3e4U4Y7g3nZ85ifNZ8paVOwmfvgQYcQ\n/USCi34iwYUQXXO49jC3vruEimDzbrQaGjcO/wLfMM8j9MlK6j78kFBxcbv1aFYrjnHjcJ43EefY\nsThGjcI6YEDPrkAVCsCK3xob76kWS18ljYDPPQ2Zk3ruXkKIXqWUYn/1fqN3In85Oyp2oDj5dxgN\njXHJ45ifNZ952fMYFjdM5k6Ic4YEF/1Eggshuia/ysNFv/8UFfcxtqSlaFrzylMJ9mTum/lTFgxY\nQODgQRpWraZx1So8Gzeijtug72RMbjf2USNxjBqNfehQ7EMGY8vJwRwf370vBgWbjLkYFfub8zQz\nzP0hzL0LzNau1y2E6DWBcICNJRtZVmDMn2hvIzunxcmsjFmR4U5JTtnvRpybJLjoJxJcCNE133xx\nIx/sKgXA5MjDkfFvzPbyVmVmpM7lV3PuJc2dBoDu8+HZuAnPhg14N2/Gu2MHyufr8D3NsbHYhgzB\nljME++DBWDOzsGZmYs3KxBwX17HAI+iFT34Fa/8ILZ92po2Hz/0ZUkd3uD1CiN5T5atiZcFKlhcs\nZ3XhajwhT5tlU12pzM+ez7yseUxLn4bdbO/DlgpxepLgop9IcCFE563YX86Xnl3fOlMLYUtchi1x\nKZqpeeiR0+Lk6+O+zs2jb8ZhaT2/QQUC+PbswbN5C74d2/Ht3kPgyJEutUlzubBlZmDNyDQCjsxM\nLGmpWFNTsaSkYElOxuR0Nr/hyCpjX4yavOY8kxXm/Rhmf196MYToY0opcmtyI70T28q3tTncCWBs\n4lhj/kT2fEbEj5DhTkIcR4KLfiLBhRCdEwjpLHp8BYfKG096XbOV40h7A4v7UKv8NHcad0y6g0sH\nX4pJa3s+RbihEf++vfh278G3by+BQ4cJ5OYSrq3tdttNMTFYUpKxpqRgSUnFkhiHpeIzLBWfYXWG\nsTh1LM4wWsZ4uOopSB/f7XsKIdoWDAfZWLqR5QXLWZa/jMKGwjbLOswOZmTMYH7WfOZmzSXZldyH\nLRXizCPBRT+R4EKIzvnLilx+/b+97ZbRNMXd1zXy0v4nqfG33nFvbOJY7pp6F5NSOzeJOlRVReDQ\nIfyHDhHIPUTg6FGCRUUECwrQPW0Pl+gKsyOM1aljyRqEZdQsrBkZRjCSmmL0hKSlYY6SvTKE6Ioa\nXw0rC43VndYUraEh2PYy1imuFOZlGb0T09KmndD7KYRomwQX/USCCyE6Z3NeNfe9tZOdhXVtlrlm\nUia/v34itf5a/rr9r/xj7z8I6aFWZeZkzuH2ibczNmlst9qjlEKvrSVQWEiwsJBgYVHTuZBQaSnB\n8jLCFZXQw59xJpcLS2oqltRUrKkpWNLTsWVnY83KxpadhSU1Fc1s7tF7CnEmUkpxuPZwZLjT1vKt\n6Epvs/zoxNGR1Z1GJYyS4U5CdJEEF/1EggshOi+sK17ZkM9vP9hLjSfY6prVrPHpnfPJTnBF8vLr\n8nls82N8dPSjE+qamzWX2ybc1u0goz0qFCJUWUmotJRQWRnBsjJCZWWEysojeaGysh4ZehVhtWLL\nyMCanY01KxNbdja2wYOxDxmCNSsLzSK7/4qzV1APsrl0s7E7dsFy8uvz2yxrN9uZkT6DednzmJs5\nl1R3ah+2VIizlwQX/USCCyG6rsYT4JEP9/HPdXnoTR8ht8wcyC+uOnmgsLl0M49ufJTtFdtPuDY3\nay6zk64n2zWamTlJmE19/7RS9/uNQKPgMMFPnia0cxkhj5mg10zIaybktxP0miAUPnVl7dCsVmyD\nBmHLycHetPqVY+RIbIMGSW+HOGNVeitZVbiKFQUrTjncKdmZzNysuczPns/09Ok4Lc42ywohukaC\ni34iwYUQ3XewrIHff7SPZfvKWXbXfFKi2x4XrZRiZeFK/rT1T+ys3HnC9bA3G5d3AZ8bvojPTx7A\nyLSY3mx6+46sgre+A9WHI1lKaYTH3kpw2BcJVdURKislWFJizP/ILyBQkE+4vKJLt9McDuwjhuMY\nNQrHyFE4Ro3EPnx461WuhDhNKKXYW7WX5QXLWVmwst3N7ABGJYyK7I49KnFUuws7CCG6T4KLfiLB\nhRA9p7zeT3J0x9aXPxZk/HHrH9lVeeLvnx6II1B9PoNtF3D5uCFcMiaN4alRfT/+OuCBTx84cV+M\n+MFw1ZMwaPYJb9G9XoKFhQTy8yMBR/BoHv5DhwgWFHRu/ofZjGPECJwTJxq7mE+caAyrknHooh94\ngh7WFq9lRcEKVhaspMxb1mZZm8nGtPRpXJB9AXOz5kb2uxGnP6UUyudD93rRPV6U14Pu86FCIQiH\nUaEwKhyCUAgVDkfyAdA00Exg0tBMpqZ002uTGc1mQ7NZMdntaHZ7U9reOk96cHuEBBf9RIILIfrX\nsSDjvmVPURnefeJ13Uqobhyh2umsW/JVEqP6aXOs/PXw1rdb7+4NMOlLsPCX4IzvUDW6z0fgyBFj\n5avcQ/gP5eLff4DA4cOgtz3JtSVzYiLOCRNwTToP1/TpOEaPlj/Golccm4y9umg1qwtXs6FkAwE9\n0Gb5Y6s7zc2a3tLffgAAIABJREFUy7S0abisrjbLnpaUgnAAAo0Q8oMKgx5uOuugdOM1gNkGJoux\nJ47JCmaLcbY6wdT/v49KKfTGRmNuWUU54dpawjU16LW1kdfhmqbXtbXoDQ1GMOH1orze/m28xYLJ\n5cLkdmOOcmNyuTFFRWFytzy7MbvdmGJiMMfGYY5rccTHYbLZ+vdnOA1IcNFPJLgQov/V+4LM+PUn\neE1HsSWswhKzHU078Yt2TmwOnx/+eS4fcjnxjo59me9RQR8s+w2secL4knGMOwUWPwRjrjGe0nWB\n7vXiP3DA2N9j7x58e/bg37e/QzuYm6KjcU2ZgnvGdFzTp2MfPtx4SihEF9T6a1lbvJY1RWtYU7SG\nksaSNstqaIxPHs/crLnMy5rH8Pjhp0evWjgIDWVQXwINJeCpAm8VeKubXlcbh6/GCCQCHgh6jNeq\ne3OqALBFgT26+XzscCVCVIrxmRGV3HRuOhyxnbqF7vEQKCggWNC0Ul5RUWRxilBZGcHyclQPL9N9\nJtFcLsyxsU0BRyyW+AQsyUmYk5KwJCVjSUrEkpSEJSkJc0LCWfmARoKLfiLBhRD978XPjnDvW82/\ng5qlFmv8GqxxGzBZTvzjaNEszMyYyaVDLmVB9oK+fzpauBn++z0o3dE6f9jFcNmjEDegR26jQiH8\nBw/i3boN79ateLdu7dAO5ua4OFwzZxA1dx5Rc2ZjSUrqkfaIs1NID7GjYgerC1fzWdFn7Kzc2e5S\nsdHWaM7PPJ+5WXM5P/N8EhwJfdhajN4Fb7UxF6r6KFQfgZqjUFcM9cVGQNFYDu3M/zgt2WMhfgDE\nDTSO+IHoznQCDVb8FQECR/MJHD7cFFAUEK6q6rOmaQ4HJrsdrFY0s9lY7c5iRjNbjC/lVguayWw8\nXNF1UAqllPFa1wGF0hWEQujBACoQRPn9qEAA5ff32c/RJpMJc0IClsRELMnJWNJSsaalY01Pw5KW\nhjU9HWtaGibXmdUTJ8FFP5HgQoj+pZRi0R9Wsq+0/sSLWghL1C6s8euxuHNP+n6nxcn87PlcMugS\nZmXMarXqjK4rXvjsCGMzYxmdEYPL1oPLv4aDxjyMpb+BUIshBFYXLPgZTPumMUyih4Wqq/Ft345n\nyxY86zfg3b4dQqF23+MYO5aouXOJmjcXx9ixZ+UTOtFxutLZX72fDSUbWF+yno0lG9td2QmMydgz\nM2YyO3M2E1MmYjVZe7+hAQ9UHoDy/VC+Fyr2QdURI5gInOTzoldpxlAnzWzMJ0AZnwE90cuB0RHq\nr7Pgr7biq7Hir7MQqLMQbDQb9+4OsxlLYiLm+PjmJ/ktnuibY2MxxcZijo7G5HCgOV2YXE5MTuPQ\nnM5e7QlVSkEwiN4UaKhAAN3nQ/d40Bsa0Rsb0RsbjHNDA+HGRiO/ocFI19U1DfGqIVxb26He3q4y\nxcRgTUvDkp4WCT6s6elNS45nYUlOPj167ppIcNFPJLgQon9tOFLFdU9/1m6ZMRkx/OnLA3ntwGu8\nk/tOm5NI7WY7MzNmsiB7AfOy51HbYOeCR5YBYNJgaEoU4zLjGJcZw9jMWIalRhPr7OaXpKrD8M4P\n4NDS1vnpE+HKJyB9QvfqPwW9sRHP5i141q+jce06fLt2tTt3wxwfT9T8+URfvBD3+efLuORzgK50\nDlQfYGPpRtYXr2dj6UbqAm1vggmQ4EhgVsYsZmXMYmbGTJKcvdj7pYehMhdKthtH2R4jmKjJp9u9\nD444iE4DVxI448CVYMyPch47x4HNDVY32Fwtzi6wOIw5FceeyJ+07TroIdCDRrARDkKwEfwN4K9v\nOuog0AC+WmisQK8pxZebh+9oOb6iBvwVYfw1FpTehS+lJoU1xoItJQ5rVjaWgSOwDB6FNTUNS0oK\nluRkY8jPOTRMUvf5moONmtrm19VVhMorCFU0HZUVhMsr0Htw6JjmcBj7GmVlY802NlQ9trGqNSur\nz1f+k+Cin0hwIUT/Kqzx8s91R3lzSxGFNSefRLhk4XC+d+EwAMJ6mE2lm/jf4f/x4dEPqW/jCaZJ\nM5HpHMHBoxmEG4cR9mYD5uPKwO5fLsJh7eaTfKVgx7/h/bvBU9mcr5lh5u0w/x7jC0wfCNfX41m/\nnoYVK2lYvpxQSdvj5U1uN1Hz5hF98cVEzZmNyd03bRS9K6yHOVhzkE2lm9hQsoGNpRup8de0+x6r\nycqklEnMyjQCiuHxw3tnqVg9DGW7jaGFJduheDuU7jK+kHeWLQriB0WGEBGbbQQS0elN5zRjcnU/\nUkoRLCgwhjZuMw7f3r0QDJ76zU00k8IWHcIWE8IeE8IaFcLmDmN1h7A4dU7432R1Gw81sqYYq9kN\nmNHp+RznEr2x0dhktaKSUEU5odIyQqUlBItLCJaUECouJlhWdsoe4o4wJydhyx5g7HM0eBD2wYOx\nDRqEdcCAXnnQc9YEF5qmOYF7gC8AA4Aq4H3gXqVUYSfrigfuB64G0oAS4A3gfqVU+5+UHb+HBBdC\nnAZ0XbHhSBVvbi3kne3F1PuaP8g/+P5cRqRFn/CeQDjAqsJVvH/kfVYVrKI+2PZQCRW2E/YMIdQ4\nlHDjMPRAMoMS3Sy764JOtzUQ0rGatRO7vz1V8OHPYOs/WufHDoDFD8PISzt9r+5QSuHff4CGFctp\nXL4Cz5YtzctFHkez23HPmU3M4sVEL1gge2ucQRoCDWyv2M62sm1sLd/K9vLtpxzmZNJMjEkcw5S0\nKUxNncrk1Mm9M3epsQIKNhhH/nojqOhMIGG2Q9IwSBoOySMhMcdYBjp+kNELcRoNQQFQuo5/3z48\nGzbQuH493s1bOj43wmzGnpMT2d/GNmQI9iFDsKaloNUehfI9ULa3+VyVa/SanIpmgrRxMHA2DDof\nBsw0/tuJDlPhsBF8lBQ3BR3FhJqCD2OPo3zCNd34WmoyYc3KwjZooBFwNAUdtsGDsaSkdHmo1VkR\nXGia5gCWAjOAYmAlMAiYBpQDM5RShzpYVxLwGTAUOARsBMY0HfuBmUqpbs9mkuBCiNOPLxhm5YEK\nPthVQm55A6/fNuuUH67BcJANpRtYmreUT/M/pczT9vr7AHooikTLcG6dfAETUyYyOnE0NnPHnhzd\n8/oO3thSQFqMg9QYB2mxjsjrlBg744PbGLD6J1B13Mfd8EVGkBE/qEP36WnhujoaVqyk/qOPaFix\nos3lJk0uF9ELLyLm8itwz5xhTN4UpwVd6RytO8rOip1sK9/GlrItHKg+0O7mdWAEE6MSRjE1bSpT\n06YyKWUSUbaonm9gbYGx+eSRlXB0zYm/A23SjCAibTykjTUCieQRRq/EabCsa1siwcT69TSu34Bn\n40b02tpTvk9zOHCMGWNsmDlqJPaRI7EPHWpMmu6oUMDoBSrabARtRVuMIWWnnAeiQfp4GLoQhi2E\nzCm9Mj/sXBOurydYUNB6f6O8fONcWNTlng+T241taA72oUOxDx1mnIcNxZKaesq/i2dLcPEA8FOM\noOBipVRDU/4S4FFguVJqfgfregn4IvA6cINSKtSU/wTwXeDvSqkv90CbJbgQ4iyjlGJ3xW6uf/EF\ndMd+zM4jaKb2P9itJitjEsdEAo1RCaMYEDPgpENDbn1+A5/ubTt4uWn6AH59+VBY8TtY/Xjrp4sW\nB8xeAuffAdbWO5lvy68hENaJdliIdlhxWc04bWbsFlOPTxLUvV4aV6+m7sMPaVi6DL3+5L0+5qQk\nYhYvJvaKy3GMG3daTVY82+lKJ78+n92Vu9lVsYtdlbvYU7WHxg48+TdrZobHD2dq2lSmpU3jvNTz\niLH1wm73tYVNwcQK41x95NTv0cyQOgYyJhrBRPoEI91HQwe7K1hWRuPqNTSuWkXjmjWEq6tP+R7b\noEE4J0zAOXECzgkTjOWieyNoD3iM4WaFm4zg7ugaYwne9jhiIWeBEWwMvQiiU3u+Xec4FQ4TKikh\nkJ9P4GieserXkSOR1b/a6lFujyk6GntODvZhQ7EPHYqtKfiwpDRPKj/jgwtN02xAGRALTFJKbTnu\n+jZgPDBFKbXpFHWlAwVACBiglCptcc0O5AMJQIZSqv3Hk6dutwQXQpyFDpY1cNHvlxsJLYjZdRiL\n+yBm9wHMjuIO1eGyuBiZMJKRCSMZlTiKkQkjGRw7mM89uZ7dxW1PiP3ugqHcefEII1G+D96903iS\n21LCEFj8Oxh2USTrmj+uZnPeiV3rmgZOq5nvLhjGbfNzOtT2ll7dmE+tJ4jVrGGzmJvOJqxm4xgc\nZyMtdyd17/6P+o8+Qm88+ZdX28CBxFxxBXGfuxprZiaVDX7CusJk0jBrmnFueq1pYDFpWMznzkTS\n7vCH/RyqOcT+6v0cqD7A3qq97K7c3e5Qv5aibdFMTJ7IxJSJTEyeyNiksb0zzCnohaOr4eAnxlGx\n79TvcadA9jTImmocGecZk6bPECoQwLN5Mw0rV9K4ajX+faf4mc1mHGPG4Jo6BdfUqTgnTMAS3w/7\n8oAx4bx8DxxZDUdXGWdPRfvvyZwMo66AkVdA0tC+aec5TAWDBPILCBw5TODwEQJHDuM/fJjAkaOE\nK07x/+okTDExTb0bw7jgb8+wr7DwjA4uLgA+BXKVUif8a9Q07V7gl8AvlFL3n6KurwDPAp8opS46\nyfW/AbcCX1FKPd/NdktwIcRZ6M0thXz/la0nv2huxOzM48Y5OgXe3eys2Ik/3LG11k2aCT2QQNCX\njO5PQQ+koPtT0QPJoBtDGu67fDS3zh7c/CalYOdr8MFPjQ29Whp1BVzyG4jLZuHvl3OgrO2x8j9e\nNLJLwcUlj604+VK/Tb5zwVB+eIkRDOk+Hw1Ll1L79js0rFx58omnmoZ75kz+FjOWf1oHEzSffMWt\n2+bn8ONFIzvd3q8+v4FVByvQNDBpGhqgNZ3R4JrzMvnFVWM7Xe+9b+7kw91tT3CfPzyFh68d3+l6\nf//Rfv6zMb/N6+Oz4nj65smAMdm6qLGIA9UHIoHEgZoD5NXlEe7osqZKwxRKIcY0lO/PXsjElIkM\njh3c4QnYb20t5NEP97d5Pdph4d3vzWm6l4KKA3DwIyOYOLoaQu0v9VmgpbHVPJat5rHsMI2iREuJ\nzI34ZMm8Tgec2wtq+O7LW9ot89pts0iK6sSQIiCv0sPNz6476TWn38OYgl183VSAtv4z9IZ25rCY\nzTjGjsE9bRquqVMJjR7HVc+18dnT5NHrJjBlUOfnPSx4ZBnhdr6v3XvZaC4a3U7Pg1LG0KmDHxv/\nT49+Zqx01YZD2gBWWmaQPuN6Ll5wUafnuNz6/AZyy9v+b3fzjIF8bc6QTtUJsOSVrWzKa7vH6Irx\nGZHPtM74xdu72u2Vnj00iQc/N67T9T7xyQFe21zQ5vWxmbE8ddOkE/LDdXX4c3PxHzxI4OBB/AcO\n4j94kFBZx56rX3H4ELmBQL8FFz3RN3dsvcXNbVw/lt+RT+6O1HVrB+sSQpyDgmGdrHgnBdUnmVcQ\ndqM3juKnMxfhtJkJhoPsq97HlrIt7KjYwd6qvRypPXLScey60sFagdVaAdF7Wl8LuVGBRD6tzMG7\ndQTZ0dlkRWWRHZ1N0tjPow27GJY9BOuebh4Xvedt40vbnCUEvO1//jutXesFCIbbXpoWwNriy57J\n4SBm8WJiFi8mXFND3fsfUPvO23g3tuhwVorGNWv4Amu4zOpkadYkPhg4jUNxmV1q3/ECYR1/qO02\n+4Lt/zxtqfEGKa1rO4is8Qa6VG+dN0hR7XFfuM2NmGwVmGzl7PE38P2lL3K07ih5dXkE9M7dJ+xP\nRvdlEvZmofuyCPvSQdlJTHLz+eHzO93eBn+IvKq2l9+Md5iM4TR734V9/zv1vIm4gTB4Dtst4/jm\nShfFJB5X4ORzezrKH9I5Wtn+cqG63vkHpEG9db3JnmpmFu9ieskuxlfkYlE6ipMvhmvNyMA9ezbu\nObNxz5iBObp5wYlaT/CU7e3qv+GjVR7C7fysjYFTjOvXNEgdbRznf89YKvfwCl5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j6SOQ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\nBV4AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ENxTIsLu23yc",
"colab_type": "code",
"outputId": "f22454db-ed98-4fed-fd6f-78084a292c16",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 538
}
},
"source": [
"def trig_poly_sparse(M,L):\n",
" f = zeros(N+1)\n",
" for m in range(-M,M):\n",
" s = randn() / (2*pi*L)\n",
" amp = 1\n",
" f += amp * (randn() * cos(2*pi*s*t) + randn() * sin(2*pi*s*t))\n",
" return f\n",
"\n",
"for i in range(3):\n",
" plot(t, trig_poly_sparse(250, L=0.5))"
],
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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gyDsIACBBsno6TKSl83XK0vu0qGk2XUudAqXe94IGp059WpW0CoHenrWZU4B3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\nSUVORK5CYII=\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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